As $$x \to \infty$$, $$f(x) \to \infty$$; as $$x \to -\infty$$, $$f(x) \to -\infty.$$

Question 1

Which of the following best describes the graph of the function $$f(x) = \sqrt{x}$$?

Accepted Answer

It is a curve that starts at $$(0,0)$$ and increases slowly for large $$x.$$

Question 2

Given the function $$f(x) = x^2$, which transformation results in the graph of f(x-2$$)$$?

Accepted Answer

A shift 2 units to the right.

Question 3

If $$f(x) = x^3$, which of the following describes the symmetry of its graph?

Accepted Answer

It is symmetric about the origin.

Question 4

Which function has a domain of all real numbers and a range of $$[0, \infty)$$?

Accepted Answer

$$f(x) = x^2$

Question 5

What is the effect on the graph of $$f(x) = x^2$ when it is transformed to f(x$$) = $$-x^2$$?

Accepted Answer

It reflects the graph over the $$x-$$axis.

Question 6

Which of the following is the graph of $$f(x) = \sqrt{x}$$ most similar to?

Accepted Answer

A curve that increases but flattens as $$x$$ increases.

Question 7

If $$f(x) = x^2$ and g(x$$) = $$x^3$$, which function grows faster as $$x$$ becomes very large?

Accepted Answer

$$g(x)$$ grows faster.

Question 8

Which transformation results in the graph of $$f(x) = \sqrt{x}$$ being reflected over the $$y-$$axis?

Accepted Answer

$$f(-x)$$

Question 9

Given the graph of $$f(x) = x^2$, which of the following points lies on the graph?

Accepted Answer

$$(2, 4)$$

Question 10

Which of the following best describes the end behavior of $$f(x) = x^3$?

Accepted Answer

As $$x 	o \infty$$, $$f(x) 	o \infty$$; as $$x 	o -\infty$$, $$f(x) 	o -\infty.$$

Question 11

Which function is NOT defined for all real numbers?

Accepted Answer

$$f(x) = \sqrt{x}$$

Question 12

If $$f(x) = x^2$ and g(x$$) = $$x^3$$, which function is even?

Accepted Answer

$$f(x)$$ only

Question 13

Which of the following is the correct domain of $$f(x) = \sqrt{x}$$?

Accepted Answer

$$[0, \infty)$$

Question 14

Which graph represents a function that is odd?

Accepted Answer

A graph symmetric about the origin.

Question 15

If $$f(x) = x^2$, what is the range of f(x$$)$$?

Accepted Answer

$$[0, \infty)$$

Question 16

Which of the following is true about the graph of $$f(x) = x^3$?

Accepted Answer

It passes through the origin and is symmetric about the origin.

Question 17

Which transformation results in the graph of $$f(x) = x^2$ being shifted 3 units down?

Accepted Answer

$$f(x) - 3$$

Question 18

If $$f(x) = \sqrt{x}$$, what is $$f(9)$$?

Accepted Answer

$$3$$

Question 19

Which of the following is the parent function for all quadratic functions?

Accepted Answer

$$f(x) = x^2$

Exam 3

Study Guide - Practice Questions