UTMA Functions and Graphing

Question 1

Which of the following represents the domain of f(x) = √(x − 3)?

Accepted Answer

x ≥ 3

Answer

x > 3

Answer

x ≤ 3

Answer

All real numbers

Question 2

If f(x) = 2x + 1 and g(x) = x², what is (f ∘ g)(3)?

Accepted Answer

19

Answer

49

Answer

10

Answer

37

Question 3

The graph of y = f(x − 2) + 3 is a transformation of y = f(x). Which transformation is applied?

Accepted Answer

Shift right 2, up 3

Answer

Shift left 2, up 3

Answer

Shift right 2, down 3

Answer

Shift left 2, down 3

Question 4

Which function is an even function?

Accepted Answer

f(x) = x⁴ − 2x²

Answer

f(x) = x³ + x

Answer

f(x) = x² + x

Answer

f(x) = x³ − 1

Question 5

What is the range of f(x) = −x² + 4?

Accepted Answer

(−∞, 4]

Answer

[4, ∞)

Answer

(−∞, ∞)

Answer

[−4, 4]

Question 6

If f(x) = 3x − 5, what is f⁻¹(x)?

Accepted Answer

(x + 5)/3

Answer

(x − 5)/3

Answer

3x + 5

Answer

(x − 3)/5

Question 7

The vertical line test is used to determine whether a graph represents:

Accepted Answer

A function

Answer

An even function

Answer

An invertible function

Answer

A one-to-one function