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LESSON GOALSLESSON GOALS

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A.7.d – Compare properties of two linear or quadratic functions each represented in a different way (algebraically, numerically in tables, graphically or by verbal descriptions).

 

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Different Different RepresentationsRepresentations

Linear Function

y= 2x + 5

f(x) = 2x + 5

Table of ordered pairs

Graph is a line

Quadratic Function

y= x²

f(x) = x²

Table of ordered pairs

Graph is a parabola

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What is the question we are asked?

Skill Review, p. 214, #1Skill Review, p. 214, #1

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Comparing Functions in Comparing Functions in Different RepresentationsDifferent Representations

Rocket ATime After Launch (seconds)

Height Above Ground (feet)

How high above the ground is the rocket when it is launched?

What is the maximum height the rocket reaches?

How high above the ground is the rocket at 2.5 seconds?

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Refer to the graph of Rocket B on p. 214 to answer these questions:

• How high above the ground is the rocket when it is launched?

• What is the maximum height the rocket reaches?

• How high above the ground is the rocket at 2.5 seconds?

Comparing Functions in Comparing Functions in Different RepresentationsDifferent Representations

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1. Back to the original question.

Skill Review, p. 214, #1Skill Review, p. 214, #1

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2. Which statement is correct?

Skill Review, p. 214, #2Skill Review, p. 214, #2

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3. A car is traveling at a rate of 60 miles per hour. A truck is traveling as shown in the graph (refer to p. 214 for the graph). Which statement is correct?

A. After 4 hours, the car will have traveled twice as far as the truck.

B. The truck’s rate of speed is less than ½ the car’s rate of speed.

C. It will take the truck 4 hours to travel the same distance that the car travels in 3 hours.

D. The car’s rate of speed is ¾ the truck’s rate of speed.

Skill Review, p. 214, #3Skill Review, p. 214, #3

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4. A work day is 8 hours. Sandra’s total pay p when she works h hours is described by the equation p=21.5h. Boris’s pay is described in the table. Who earns more money per day? How much more?

Skill Review, p. 214, #4Skill Review, p. 214, #4

Hours Worked

Total Pay

0 0

2 45

4 90

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Small Group Exercise!Small Group Exercise!

Common Core Achieve Exercise Book by McGraw Hill

pp. 71-72, #’s 3-7

Afternoon Break! Afternoon Break!

Please come back on time.

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