Key attributes of a function

Is the graph a function? Explain.

​ (a)   , because a vertical line will only intersect the graph ​ (b)  

• yes
• once
• no
• twice

The domain of a function is all real numbers less than or equal to 12 but greater than negative 6.

Which of the following inequality accurately matches the description?

• -6 ≤ x ≤ 12

• -6 < x ≤ 12

• -6 ≤ y ≤ 12

• -6 ≤ y < 12

Lois was assigned to determine the domain and range of the function on the graph. What is the domain and range of the function?

Part A: What is the domain?

​ (a)  

Part B: What is the range?

​ (b)  

Jack graphed the function shown on the grid to the right. Based on the graph, which inequality best describes the domain and the range?

• -3 ≤ x ≤ 2

• -3 ≤ x < 2

• -7 ≤ y < 2

• -7 ≤ y ≤ 2

• -7 ≤ y < -3

• 14 ft

• 28 ft

• 112 ft

• 308 ft

If f(x) = -x² + 4 and g(x) = x² - 4, which values of x will make the functions equal?

Select ALL that apply.

• -2

• 0

• 1

• -1

• 2

Gabby was assigned to analyze the information shown on the graph.

Which information is true about the graph?

• The maximum water level is 28 feet.

• The x-intercept is 14 feet.

• The water level was measured for 20 days.

• The initial water level, 16 feet, is the y-intercept.

Ms. Catching gave his students a list of functions. Which functions have the same zeros?

Select ALL that apply.

Use the graph of g(x) to answer the two-part question.

Part A: What is the value of g(0)?

g(0) = _____

Mathematical Equivalence

ON

Use the graph of g(x) to answer the two-part question.

Part B: What is the value of g(3)?

g(0) = _____

Mathematical Equivalence

OFF