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Characteristics of Graphs

Explore key characteristics of graphs including intercepts, slope, domain, and range with this Grade 9 math worksheet.

Grade 9 Math Data and GraphingCharacteristics of Graphs
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Includes

2 Short AnswerTrue / FalseMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.IF.B.4
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Characteristics of Graphs

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Date:

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Read each question carefully and provide your answers in the spaces provided. Show all your work for full credit.

1. For the graph of the equation y = 2x + 4:

a) What is the x-intercept?

b) What is the y-intercept?

2. Determine if the following statements about slope are True or False.

a) A horizontal line has an undefined slope.

T

True

F

False

b) The slope of the line passing through (1, 2) and (3, 6) is 2.

T

True

F

False

3. Which of the following best describes the domain of the function shown in the graph below?

-5-4-3-2-112345-5-4-3-2-112345
a

All real numbers

b

x ≥ 0

c

y ≥ 0

d

x ≤ 0

4. Complete the following sentences with the correct graph terminology.

a) The set of all possible input values for a function is called the  .

b) The point where a graph crosses the y-axis is known as the  .

5. Consider the linear function represented by the equation y = -3x + 6.

a) What is the slope of this line?

b) Does the graph of this function increase or decrease from left to right?