Practice: Exponential Function Graphs

Which of the following graphs depicts the following exponential function:

f(x) = 2^x - 2

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which of the below exponential graphs shows decay?

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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.B.5

Which of the below exponential graphs shows growth?

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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Which of the below functions represents exponential growth?

• $y=\frac{1}{2}\cdot10^{x\ }$

• $f\left(x\right)=2\cdot\frac{1}{2}^x$

• $y=10\cdot\frac{1}{2}^x$

• $g\left(x\right)=5\cdot\frac{1}{5}^x$

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Identify which functions are exponential.

• f(x) = 2x - 5

• g(x) = 3^x

• k(x) = 3x⁴ - 6x + 9

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  $k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x$

Tags

CCSS.HSF.LE.A.1

Determine which functions model exponential decay.

• $g\left(x\right)=3\cdot2^x$

• $k\left(x\right)=\left(\frac{1}{3}\right)^x$

• $m\left(x\right)=3\cdot\left(\frac{2}{3}\right)^x$

• $p\left(x\right)=4x^2+5x-9$

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Given the equation below determine the y-intercept.

 $y=3^x$  

• (0, 1)

• (0, 3)

• x= 0

• y = 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

What kind of transformation is represented?

• up 1 unit
• left 1 unit
• right 1 unit 
• down 1 unit

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same
• reflects, up 3, left 6
• reflects, right 3, down 6
• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is the transformation?

• Left 5
• Right 5
• Up 5
• Down 5

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6