NBT NBT Mathematics: Functions and Graphs 1

Question 1

The function f(x) = 2x − 6. What is the x-intercept?

Accepted Answer

x = 3

Answer

x = −6

Answer

x = −3

Answer

x = 6

Question 2

Which graph represents a decreasing linear function with a positive y-intercept?

Accepted Answer

A straight line sloping downward from left to right, crossing the y-axis above the origin

Answer

A straight line sloping upward from left to right

Answer

A parabola opening upwards

Answer

A horizontal line above the x-axis

Question 3

The quadratic function g(x) = x² − 4x + 3. What are the roots?

Accepted Answer

x = 1 and x = 3

Answer

x = −1 and x = −3

Answer

x = 2 and x = −2

Answer

x = 4 and x = 0

Question 4

What is the range of f(x) = x² + 1?

Accepted Answer

y ≥ 1

Answer

y ≥ 0

Answer

all real numbers

Answer

y ≤ 1

Question 5

The exponential function h(x) = 3^x. What is h(−2)?

Accepted Answer

1/9

Answer

−9

Answer

9

Answer

1/3

Question 6

For the parabola y = −2(x − 1)² + 8, what is the maximum value of y?

Accepted Answer

8

Answer

1

Answer

−2

Answer

4

Question 7

A graph of y = f(x) shows that f(2) = 5 and f(5) = −1. What is the average rate of change between x = 2 and x = 5?

Accepted Answer

−2

Answer

2

Answer

−6

Answer

6