The table shows values for a function h at selected values of x. Which of the following statements about h could be true?

The function h is increasing and the graph of h is concave up.

The function h is decreasing and the graph of h is concave up.

The function h is decreasing and the graph of h is concave down.

The function h is increasing and the graph of h is concave down.

The table gives values of the polynomial function h at selected values of x. Which of the following statements about h could be true?

(D) h is an even function and h(-4) = 7

(A) h is an odd function and h(-4) = -7

(B) h is an odd function and h(-4) = 7

(C) h is an even function and h(-4) = -7

The polynomial function p is given by $$p(x)=(x^2+4)(x^2-9)$$ . Which of the following describes the zeros of p?

p has exactly two distinct real zeros and two non-real zeros.

p has exactly two distinct real zeros and no non-real zeros.

p has exactly three distinct real zeros.

p has exactly four distinct real zeros.

The polynomial function f is given by $$f(x)=(x+1)(x^2-3x-4)$$ . Which of the following describes the zeros of f?

f has exactly two distinct real zeros.

f has exactly three distinct real zeros.

f has exactly one distinct real zero and no non-real zeros.

f has exactly one distinct real zero and two non-real zeros.

The polynomial function g is given by $$g\left(x\right)=(x-3)(x^2-6x+9)$$ . Which of the following describes the zeros of g?

g has exactly one distinct real zero and no non-real zeros.

g has exactly two distinct real zeros.

g has exactly three distinct real zeros.

g has exactly one distinct real zero and two non-real zeros.

The polynomial function k is given by $$k(x)=(x-4)(x^2+2x+7)$$ . Which of the following describes the zeros of k?

k has exactly one distinct real zero and two non-real zeros.

k has exactly three distinct real zeros.

k has exactly two distinct real zeros and one non-real zero.

k has exactly one distinct real zero and no non-real zeros.

The table gives values of the function h at selected values of x. Which of the following statements is true?

h is best modeled by a quadratic function, because the successive 2nd differences of the output values over equal-interval input values are constant.

h is best modeled by a linear function, because the average rate of change over any length input-value interval is constant.

h is best modeled by a quadratic function, because the average rates of change over any length input-value interval are constant.

h is best modeled by a linear function, because the successive 2nd differences of the output values over equal-interval input values are constant.

The table gives values of the function k at selected values of x. Which of the following statements is true?

k is best modeled by a linear function, because the average rate of change over any length input-value interval is constant.

k is best modeled by a quadratic function, because the average rates of change over any length input-value interval are constant.

k is best modeled by a linear function, because the successive 2nd differences of the output values over equal-interval input values are constant.

k is best modeled by a quadratic function, because the successive 2nd differences of the output values over equal-interval input values are constant.

The function f is given by $$f(x)=4x^3-2x+7$$ . Which of the following describes the end behavior of f?

lim x to -∞ f(x) = -∞ and lim x to ∞ f(x) = ∞

lim x to -∞ f(x) = -∞ and lim x to ∞ f(x) = -∞

lim x to -∞ f(x) = ∞ and lim x to ∞ f(x) = ∞

lim x to -∞ f(x) = ∞ and lim x to ∞ f(x) = -∞

The function k is given by $$k\left(x\right)=-2x^6+x^3-x^2-1$$ . Which of the following describes the end behavior of k?

lim x to -∞ k(x) = -∞ and lim x to ∞ k(x) = -∞

lim x to -∞ k(x) = ∞ and lim x to ∞ k(x) = ∞

lim x to -∞ k(x) = -∞ and lim x to ∞ k(x) = ∞

lim x to -∞ k(x) = ∞ and lim x to ∞ k(x) = -∞

The rational function r is given by $$r(x)=\frac{(x^5+4)}{(-3x^2+7)}$$ . Which of the following describes the end behavior of r?

(D) lim x->-∞ r(x) = 0 and lim x->∞ r(x) = -∞

(A) lim x->-∞ r(x) = -∞ and lim x->∞ r(x) = -∞

(B) lim x->-∞ r(x) = 0 and lim x->∞ r(x) = ∞

(C) lim x->-∞ r(x) = -∞ and lim x->∞ r(x) = ∞

The rational function r is given by $$r(x)=\frac{(2x^3-9)}{(4-x^3)}$$ . Which of the following describes the end behavior of r?

(D) lim x->-∞ r(x) = -2 and lim x->∞ r(x) = -2

(A) lim x->-∞ r(x) = -∞ and lim x->∞ r(x) = ∞

(B) lim x->-∞ r(x) = ∞ and lim x->∞ r(x) = -∞

(C) lim x->-∞ r(x) = 1/2 and lim x->∞ r(x) = 1/2

The rational function r is given by $$r(x)=\frac{(x^4+x^2+3)}{(x^3+2x+7)}$$ . Which of the following statements about the end behavior of r is true?

Since the polynomial in the numerator dominates the polynomial in the denominator for input values of large magnitude, r has the end behavior of y = x and lim x->∞ r(x) = -∞

Since the polynomial in the numerator dominates the polynomial in the denominator for input values of large magnitude, r has the end behavior of y = x and lim x->∞ r(x) = ∞

Since the polynomial in the denominator dominates the polynomial in the numerator for input values of large magnitude, r has the end behavior of y = x and lim x->∞ r(x) = -∞

Since the polynomial in the denominator dominates the polynomial in the numerator for input values of large magnitude, r has the end behavior lim x->∞ r(x) = 0

The rational function f is given by $$f(x)=\frac{-2(x+3)}{(x-1)}$$ . Which of the following statements describe the output values of f as the input values of f get arbitrarily close 1 where x > 1?

The output values of f decrease without bound.

The output values of f increase without bound.

The output values of f get arbitrarily close to -8.

The output values of f get arbitrarily close to -2.

Unit 1 MCQ AP Precalculus Exam Review (64-129)

Authored by Cheryl Flowers

Mathematics

11th Grade

CCSS covered

Used 10+ times

Unit 1 MCQ AP Precalculus Exam Review (64-129)

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The table gives values for a polynomial function h at selected values of x. It is known that h is increasing on the interval 0 < x < 4. Which of the following could be true about the graph of h on the interval 0 < x < 4?

The graph of h is concave down because the average rate of change over equal-length input-value intervals is increasing.

The graph of h is concave up because the average rate of change over equal-length input-value intervals is increasing.

The graph of h is concave down because the average rate of change over equal-length input-value intervals is decreasing.

The graph of h is concave up because the average rate of change over equal-length input-value intervals is decreasing.

Tags

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The table shows values for a function f at selected values of x. Which of the following claim and explanation statements best fit these data?

The graph of f could be concave up because the average rates of change over consecutive equal-length input-value intervals are positive.

The graph of f could be concave up because the average rates of change over consecutive equal-length input-value intervals are increasing.

The graph of f could be concave down because the average rates of change over consecutive equal-length input-value intervals are negative.

The graph of f could be concave down because the average rates of change over consecutive equal-length input-value intervals are decreasing.

Tags

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The table shows values for a function k at selected values of x. Which of the following claim and explanation statements best fit these data?

The graph of k could be concave up because the average rates of change over consecutive equal-length input-value intervals are positive.

The graph of k could be concave up because the average rates of change over consecutive equal-length input-value intervals are increasing.

The graph of k could be concave down because the average rates of change over consecutive equal-length input-value intervals are negative.

The graph of k could be concave down because the average rates of change over consecutive equal-length input-value intervals are decreasing.

Tags

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The table shows values for a function g at selected values of x. Which of the following claim and explanation statements best fit these data?

g is best modeled by a linear function, because the rate of change over consecutive equal-length input-value intervals is constant.

g is best modeled by a linear function, because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

g is best modeled by a quadratic function, because the rate of change over consecutive equal-length input-value intervals is constant.

g is best modeled by a quadratic function, because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.9

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The table shows values for a function k at selected values of x. Which of the following claim and explanation statements best fit these data?

k is best modeled by a linear function, because the rate of change over consecutive equal-length input-value intervals is constant.

k is best modeled by a linear function, because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

k is best modeled by a quadratic function, because the rate of change over consecutive equal-length input-value intervals is constant.

k is best modeled by a quadratic function, because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following claim and explanation statements best fit these data?

f is best modeled by a linear function, because the rate of change over consecutive equal-length input-value intervals is constant.

f is best modeled by a linear function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

f is best modeled by a quadratic function, because the rate of change over consecutive equal-length input-value intervals is constant.

f is best modeled by a quadratic function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following claim and explanation statements best fit these data?

g is best modeled by a linear function, because the rate of change over consecutive equal-length input-value intervals is constant.

g is best modeled by a linear function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

g is best modeled by a quadratic function, because the rate of change over consecutive equal-length input-value intervals is constant.

g is best modeled by a quadratic function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

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Unit 1 MCQ AP Precalculus Exam Review (64-129)

The table gives values for a polynomial function h at selected values of x. It is known that h is increasing on the interval 0 < x < 4. Which of the following could be true about the graph of h on the interval 0 < x < 4?

The table shows values for a function f at selected values of x. Which of the following claim and explanation statements best fit these data?

The table shows values for a function k at selected values of x. Which of the following claim and explanation statements best fit these data?

The table shows values for a function g at selected values of x. Which of the following claim and explanation statements best fit these data?

The table shows values for a function k at selected values of x. Which of the following claim and explanation statements best fit these data?

Which of the following claim and explanation statements best fit these data?

Which of the following claim and explanation statements best fit these data?

Which of the following claim and explanation statements best fit these data?

The graph of the polynomial function f is concave up on the interval 0 ≤ x ≤ 10. Which of the following could be a table of values containing points on the function f?

The graph of the polynomial function g is concave down on the interval 0 ≤ x ≤ 10. Which of the following could be a table of values containing points on the function g?

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