Topic 2 Functions

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Tags

CCSS.HSA-REI.B.4B

What is an equation in slope-intercept form for the line on the graph shown?

Record your answer on your papers, then choose a poll response.

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Melissa is running from her house to a park that is 10 miles away.

After 1 hour, she is 6 miles from the park. After 2 hours, she is 2 miles from the park. A graph shows her distance y from the park, in miles, after x hours.

What is the slope of the graph, and what does it represent?

Show your process and record your answer on your papers, then choose a poll response.

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The equation y = −3x + 7 represents the amount of water y left in a 7-gallon tub after x minutes. Where does the graph of the equation intersect the y-axis and the x-axis? y-axis: (​ (a)   ,​ (b)   ) x-axis: (​ (c)   , ​ (d)   )

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• 7

• 7/3

• -3

Tags

CCSS.HSF-IF.C.7A

At 2 hours before sunset, the temperature is 0°F. At 2 hours after sunset, the temperature is −4°F . Identify the equation representing the temperature y , in °F, at x hours after sunset.

y = ​ (a)   x + ​ (b)  

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Isobel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. What is the equation, in point-slope form, of the line, where y represents the height, in feet, of the bucket relative to the top of the well after x seconds?

y + ​ (a)   =​ (b)   (x + ​ (c)   )

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• 4

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Select all the sets of ordered pairs that the graph of the equation y − 1 = −2(x − 2) contains.

• (0, −2) and (1, 3)

• (−1, 7) and (2, 1)

• (1, 2) and (4, 3)

• (0, 5) and (−2, 9)

• (3, −1) and (2, −1)

The table shows the number of condo sales per month for a new condo building. Select all the equations that could represent the number of sales.

• y − 11 = −3(x − 0)

• y + 1 = −3(x − 2)

• y + 11 = 3(x − 0)

• y −1 = −3(x + 8)

• y − 2 = −3(x − 3)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The function h(x) = − 1/2(x − 4)² + 3 represents the height of a bird y over time x , as it flies past the school. What point on the graph represents the greatest height of the bird above the ground?

• (4, 3)

• (3, 4)

• (1/2 , 4)

• (3, 1/2)

Tags

CCSS.HSF-IF.C.7A

What is the equation written in vertex form of a parabola with a vertex of (9, −1) that passes through (7, 7) ?

• y = 2 (x − 9)² − 1

• y = 2 (x + 1)² − 9

• y = 2 (x − 7)² + 7

• y = 7 (x − 9)² − 1