Question 1

Given the function $$f(x) = \sqrt{x-3}$$, what is the domain of $$f(x)$$?

Accepted Answer

$$[3, \infty)$$

Question 2

What is the point of origin for the function $$f(x) = \sqrt{x+2}$$?

Accepted Answer

$$(-2, 0)$$

Question 3

Which of the following is the correct range for the function $$f(x) = \sqrt{2x-4}$$?

Accepted Answer

$$[0, \infty)$$

Question 4

Find the $$x-$$intercept of the function $$f(x) = \sqrt{x-5}.$$

Accepted Answer

$$(5, 0)$$

Question 5

Which transformation describes the function $$f(x) = \sqrt{x+4} - 3$$ compared to $$f(x) = \sqrt{x}$$?

Accepted Answer

Shift left 4 units and down 3 units

Question 6

If $$f(x) = \sqrt{x-2}$$ and $$g(x) = \sqrt{x+2}$$, at what $$x-$$value do their graphs intersect?

Accepted Answer

$$x = 4$$

Question 7

What is the inverse function of $$f(x) = \sqrt{x}$$ for $$x \geq 0$$?

Accepted Answer

$$f^{-1}(x$$) = $$x^2$$

Question 8

For the function $$f(x) = \sqrt{4-x}$$, what is the range?

Accepted Answer

$$[0, 2]$$

Question 9

Solve for $$x$$: $$\sqrt{2x-5} = 3.$$

Accepted Answer

$$x = 7$$

Question 10

Which of the following statements is TRUE about the function $$f(x) = \sqrt{x-1}$$?

Accepted Answer

The graph starts at $$(1, 0)$$ and increases to the right.

Question 11

Given $$f(x) = \sqrt{x-2}$$, for which value of $$x is$$ $$f(x) = 5$$?

Accepted Answer

$$x = 27$$

Question 12

If $$f(x) = \sqrt{x+1}$$, what is the $$y-$$intercept?

Accepted Answer

$$(0, 1)$$

Question 13

Which equation represents the graph of $$f(x) = \sqrt{x-3} + 2$$?

Accepted Answer

The graph of $$y = \sqrt{x}$$ shifted right 3 units and up 2 units

Question 14

For $$f(x) = \sqrt{x-4}$$, what is the $$y-$$intercept?

Accepted Answer

None

Question 15

If $$f(x) = \sqrt{x+5}$$, what is the domain?

Accepted Answer

$$[-5, \infty)$$

Question 16

Which of the following is NOT a property of the square root function $$f(x) = \sqrt{x}$$?

Accepted Answer

It is defined for all real numbers.

Question 17

Solve for $$x$$: $$\sqrt{x-1} = -3.$$

Accepted Answer

No solution

Question 18

If $$f(x) = \sqrt{x-2}$$ and $$g(x) = \sqrt{2x-4}$$, for which $$x do$$ $$f(x) = g(x)$$?

Accepted Answer

$$x = 4$$

Question 19

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

Accepted Answer

It starts at the origin and decreases as $$x$$ increases.

Question 20

Given $$f(x) = \sqrt{x-3}$$, for which $$x is$$ $$f(x)$$ undefined?

Accepted Answer

$$x \u003c 3$$

D6

Study Guide - Practice Questions