UTMA Functions and Graphing 2

Question 1

What are the x-intercepts of f(x) = x² − 5x + 6?

Accepted Answer

x = 2 and x = 3

Answer

x = −2 and x = −3

Answer

x = 1 and x = 6

Answer

x = −1 and x = 6

Question 2

Which of the following is a one-to-one function?

Accepted Answer

f(x) = 2x + 5

Answer

f(x) = x²

Answer

f(x) = |x|

Answer

f(x) = sin x

Question 3

What is the y-intercept of f(x) = (x + 3)(x − 1)?

Accepted Answer

−3

Answer

3

Answer

1

Answer

−1

Question 4

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

Accepted Answer

7

Answer

9

Answer

5

Answer

6

Question 5

The function f(x) = 1/(x − 4) has a vertical asymptote at:

Accepted Answer

x = 4

Answer

x = −4

Answer

y = 0

Answer

y = 4

Question 6

Which transformation produces the graph of y = −f(x)?

Accepted Answer

Reflection over the x-axis

Answer

Reflection over the y-axis

Answer

Shift downward

Answer

Vertical stretch

Question 7

For f(x) = |x − 2|, what is the vertex (minimum point) of the graph?

Accepted Answer

(2, 0)

Answer

(0, 2)

Answer

(−2, 0)

Answer

(0, −2)