NJGPA Interpreting Functions and Key Features from Graphs and Tables (Algebra I) 3

Question 1

A graph of h(x) has zeros at x = -3, x = 1, and x = 5. How many times does the graph cross the x-axis?

Accepted Answer

3

Answer

Each zero corresponds to one x-intercept, so the graph crosses the x-axis 3 times.

Question 2

A function's table shows inputs 1–5 and the same output value of 7 for each. What is true?

Accepted Answer

The function is constant

Answer

When all outputs are equal regardless of input, the function is constant.

Question 3

On a graph, f(x) increases steeply from x = 0 to x = 2, then levels off. What does the 'leveling off' indicate?

Accepted Answer

The rate of change is decreasing toward zero

Answer

Leveling off means the function's rate of change is slowing and approaching zero.

Question 4

A linear function has a negative slope. Which table correctly represents this?

Accepted Answer

x: 1,2,3 y: 10,7,4

Answer

A negative slope means y decreases as x increases; 10, 7, 4 decreases by 3 each step.

Question 5

The graph of g(x) is entirely below the x-axis. What can you conclude?

Accepted Answer

g(x) < 0 for all x

Answer

A graph entirely below the x-axis means all output values are negative, so g(x) < 0.

(NJGPA) New Jersey Graduation Proficiency Assessment Practice Test