Question 1

Which of the following is the domain of the function $$f(x) = \sqrt{x-3}$$?

Accepted Answer

$$[3, \infty)$$

Question 2

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

Accepted Answer

$$[0, \infty)$$

Question 3

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

Accepted Answer

$$(5, 0)$$

Question 4

What is the point of origin for the function $$f(x) = \sqrt{x+1}$$?

Accepted Answer

$$(-1, 0)$$

Question 5

Which transformation occurs to the graph of $$f(x) = \sqrt{x}$$ when it is changed to $$f(x) = \sqrt{x-4}$$?

Accepted Answer

Horizontal shift right by 4 units

Question 6

Given $$f(x) = \sqrt{x+3}$$, what is the inverse function $$f^{-1}(x$$)$$?

Accepted Answer

$$f^{-1}(x$$) = $$x^2 - 3$

Question 7

For the function $$f(x) = \sqrt{2x-6}$$, what is the domain?

Accepted Answer

$$[3, \infty)$$

Question 8

A medical test uses the function $$f(x) = \sqrt{x-2} to $$model the minimum dosage $$x (in mg) $$required for a reaction. If the reaction occurs at $$f(x) = 4$$, what is the minimum dosage?

Accepted Answer

$$x = 14$$

Question 9

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

Accepted Answer

Its graph passes through $$(0, 0)$$ and increases to the right

Question 10

If $$f(x) = \sqrt{x-1}$$ and $$g(x) = \sqrt{x+3}$$, at what $$x-$$value do their graphs intersect?

Accepted Answer

$$x = 5$$

Question 11

For the function $$f(x) = 4\sqrt{x-1}$$, what is the $$y-$$intercept?

Accepted Answer

$$(1, 0)$$

Question 12

Which of the following is the correct range for $$f(x) = \sqrt{5-x}$$?

Accepted Answer

$$[0, \infty)$$

Question 13

A chemical reaction is modeled by $$f(x) = \sqrt{x-7}. If $$the reaction starts at the point of origin, what are its coordinates?

Accepted Answer

$$(7, 0)$$

Question 14

Which of the following functions has a domain of $$[0, \infty)$$ and a range of $$[0, \infty)$$?

Accepted Answer

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

Question 15

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

Accepted Answer

$$x = 7$$

Question 16

Which of the following describes the transformation from $$f(x) = \sqrt{x} to$$ $$f(x) = \sqrt{x} + 2$$?

Accepted Answer

Vertical shift up by 2 units

Question 17

For $$f(x) = \sqrt{x-3}$$, what is the $$y-$$intercept?

Accepted Answer

None

Question 18

If $$f(x) = \sqrt{x-2}$$ and $$f(x) = 0$$, what is the value of $$x$$?

Accepted Answer

$$x = 2$$

Question 19

Which of the following is NOT a possible $$x-$$intercept for a square root function?

Accepted Answer

$$(0, 1)$$

Question 20

A square root function $$f(x) = \sqrt{x-4} is $$used to model the time (in hours) after a medication is administered. What is the earliest time the function is defined?

Accepted Answer

$$x = 4$$

D6

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