UTMA Functions and Graphing 3

Question 1

What is the inverse of g(x) = (x/2) − 4?

Accepted Answer

g⁻¹(x) = 2x + 8

Answer

g⁻¹(x) = 2x − 8

Answer

g⁻¹(x) = (x + 4)/2

Answer

g⁻¹(x) = x/2 + 4

Question 2

The function f(x) = 3x² − 12x + 1 has its vertex at x = ?

Accepted Answer

x = 2

Answer

x = −2

Answer

x = 4

Answer

x = −4

Question 3

Which of the following graphs has a horizontal asymptote at y = 0?

Accepted Answer

f(x) = 2/(x + 1)

Answer

f(x) = x² + 1

Answer

f(x) = 2x + 3

Answer

f(x) = (x² + 1)/x

Question 4

If f(2) = 5 and f is a linear function with slope 3, what is f(0)?

Accepted Answer

−1

Answer

1

Answer

11

Answer

−11

Question 5

What is the period of the function f(x) = sin(2x)?

Accepted Answer

π

Answer

2π

Answer

π/2

Answer

4π

Question 6

Which statement correctly describes the function f(x) = x³ − x?

Accepted Answer

It is an odd function

Answer

It is an even function

Answer

It has no x-intercepts

Answer

Its range is restricted

Question 7

The graph of y = f(2x) compared to y = f(x) is:

Accepted Answer

Compressed horizontally by factor 2

Answer

Stretched horizontally by factor 2

Answer

Compressed vertically by factor 2

Answer

Stretched vertically by factor 2