Comparing Growth of Quadratic and Exponential Functions

Which function is exponential?

• A

• B

• C

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CCSS.HSF-LE.A.1A

Is this table linear, quadratic, exponential, or none of the above?

• linear

• quadratic

• exponential

• none of the above

Which function best models the height and speed of throwing a ball in the air?

• Linear

• Quadratic

• Exponential

• a

• b

• c

• d

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

• Every time the quadratic function grows, it will grow by a smaller rate

• The exponential function will always grow by a factor of 4

• The exponential function will not overtake the quadratic one

• Every time the quadratic function grows, it will grow by a faster rate

Tyler concludes that 5x^2 will always take larger values than 2^x for the same value of x. Do you agree? Explain or show your reasoning.

(a)  

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

True or False: All increasing exponential functions will exceed all increasing quadratic functions over time.

• True

• False

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the difference between a quadratic function and an exponential function in terms of reaching 0?

• An exponential function can never equal 0, while a quadratic function can equal 0.

• Both quadratic and exponential functions can never equal 0.

• Both quadratic and exponential functions can equal 0.

• A quadratic function can never equal 0, while an exponential function can equal 0.

As x approaches positive infinity, my function’s values will eventually exceed the other function’s values.

• 
• 
• 

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9