Graphing Linear Functions from Tables

Graph the relation y = -2x + 3 for integer values of x from 0 to 4.

You know this is an equation of a linear function, so the dots you graph will be in a straight line. However, you are not asked to draw the whole line, just put a dot on the graph for each input/output combination. So, if x = 0, find y and plot that point. If x = 1, find y and plot that point, and so on. Which graph matches your results?

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Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe the relationship between the input (x) and output (y) values in this graph.

• When x increases by 1, y increases by 7.

• When x increases by 1, y increases by 5.

• When x increases by 1, y increases by 2.

• When x increases by 2, y decreases by 5.

Tags

CCSS.HSF-LE.A.1B

Describe the relationship between the input (x) and output (y) values in this graph.

• When x increases by 1, y decreases by 12.

• When x increases by 1, y decreases by 2.

• When x increases by 1, y increases by 2.

• When x increases by 2, y increases by 12.

Tags

CCSS.HSF-LE.A.1B

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Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Write the linear function that models the table of values.

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The data in this table represents a linear function.

Find the rate of change (slope, rise over run, change in y over change in x) of the data.

Tags

CCSS.HSF-LE.A.1B

The data in this table represents a linear function.

Describe the meaning of the rate of change (slope, rise over run, change in y over change in x) of the data.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Tags

CCSS.HSF.IF.B.4

The table shows the cost of long distance calls based on the length of the call. For this function, the input is the number of minutes and the output is the cost of the call.

Is there a constant rate of change? If so, what is it?

• Yes, 10 calls per minute

• Yes, $.10 per minute

• Yes, $.40 per minute

• Not a constant rate

Tags

CCSS.HSF-LE.A.1B

The table shows solutions to the function represented by the equation Find the missing output value.

• -19

• 17

• 19

• 17

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The data in the table represents a linear function. Which equation models the relationship?

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2