What is the domain of a function?

The domain is the set of all possible input values (x-values) for the function.

What is the range of a function?

The range is the set of all possible output values (y-values) for the function.

What does it mean for a function to be one-to-one?

A function is one-to-one if it never assigns the same value to two different domain elements.

What is the vertical line test?

The vertical line test determines if a graph represents a function; if a vertical line intersects the graph more than once, it is not a function.

What is the definition of a polynomial function?

A polynomial function is a function that can be expressed in the form $$f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0$$ where $$a_n$$ are constants and $$n$$ is a non-negative integer.

What is a rational function?

A rational function is a function that can be expressed as the ratio of two polynomials.

What is the significance of the y-intercept in a function?

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the output value when $$x = 0$$ .

Unit 2B Review Flashcards: 15 Cards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the inverse of the function $f(x) = 2x - 3$ ?

Back

The inverse is $y^{-1} = \frac{1}{2}x + \frac{3}{2}$ .

2.

FLASHCARD QUESTION

Front

What is the composition of functions $f(x) = 3x - 1$ and $g(x) = x^2 + 2$ ?

Back

The composition is $(f ° g)(x) = 3x^2 + 5$ .

3.

FLASHCARD QUESTION

Front

What is the value of $f(g(5))$ if $f(x) = 3x - 1$ and $g(x) = x^2 + 2$ ?

Back

The value is -2.

4.

FLASHCARD QUESTION

Front

What is the restricted domain of the function $\frac{5}{x}$ ?

Back

The restricted domain is @@x e 0@@.

5.

FLASHCARD QUESTION

Front

What line does the inverse of a function reflect across?

Back

The inverse reflects across the line $y = x$ .

6.

FLASHCARD QUESTION

Front

How do you find the inverse of a function?

Back

To find the inverse, swap $x$ and $y$ in the equation and solve for $y$ .

7.

FLASHCARD QUESTION

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

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