
Pre Calculus Quarter 2 Review
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Mathematics
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10th - 12th Grade
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Practice Problem
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Medium
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4 Slides • 15 Questions
1
Pre Calculus Quarter 2 Review
2
Unit 3 - Rational Functions
Finding all asymptotes, holes, and intercepts
3
Multiple Choice
Completely factor the rational function: f(x)=2x2+9x+10x−3
f(x)=(2x+9)(x+10)(x−3)
f(x)=(x+1)(x+10)(x−3)
f(x)=(x+2)(2x+5)(x−3)
4
Multiple Select
Given the factored function f(x)=(x+2)(2x+5)(x−3) select all that apply.
This function has no holes.
This function has 1 vertical asymptote.
This function has 1 x-intercept.
This function has 2 vertical asymptotes
This function has 1 hole.
5
Multiple Choice
Given the factored function f(x)=(x+2)(2x+5)(x−3) what is the x-intercept?
(−2, 0)
(−3, 0)
(3, 0)
(−25, 0)
6
Multiple Select
Given the factored function f(x)=(x+2)(2x+5)(x−3) where are the vertical asymptotes? Select all the apply
x=−2
x=3
x=−25
x=−5
7
Multiple Choice
What is the horizontal asymptote of the function: f(x)=2x2+9x+10x−3
y=0
y=21
There is no horizontal asymptote
8
Multiple Choice
What is the y-intercept of the function: f(x)=2x2+9x+10x−3
(0,0)
(0, −103)
(0, 21)
There is no y-intercept.
9
Unit 4 - Exponential and Logarithmic Functions
10
Multiple Choice
Examine the function below:
Which of the following statements about the function is incorrect?
The graph has a vertical asymptote at x = 3
The x-intercept is (310, 0)
The point (12, 2) is on the graph.
The y-intercept is (0, 23)
11
Multiple Choice
Which of the following functions has an asymptote at
y=−16 and a y-intercept at (0, −15) ?y=4x−16
y=4x−16
y=42x+16
y=2⋅4x−16
12
Multiple Choice
Simplify this expression log36216
23
6
32
61
13
Multiple Choice
Given these two statements, which of the following is equal to x+y ?
5x=9 and 2y=5
log95+log52
log59+log25
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Open Ended
The population of a community can be represented by the equation below, where p is the population in thousands and t is the number of years since 1990.
p=log5+log(t+3)+7
Determine the
value of t when p = 9.
15
Multiple Choice
The population of a community can be represented by the equation below, where p is the population in thousands and t is the number of years since 1990.
p=log5+log(t+3)+7Which of the following is the correct interpretation of the solution (17, 9)?
In 17 years, the population is 9.
In 9 years, the population is 17.
In 17 years, the population is 9,000.
In 9 years the population is 17,000.
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Open Ended
Solve the following equation for x.
log2x+log2(x−2)=3
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Unit 5 - Trig Functions
18
Multiple Choice
Which of the following statements is impossible?
sinθ=23
sinθ=1
sinθ=10π
sinθ=−π
19
Multiple Choice
Determine the equation of the trigonometric function shown in the graph.
y=3cos(2x−π)+2
y=3cos(x+2π)+2
y=−3cos(x−π)+2
y=3cos(x−23π)+2
Pre Calculus Quarter 2 Review
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