Exponential Graphs

What type of function is  $f\left(x\right)=2\left(\frac{1}{4}\right)^x$  ?

• exponential growth (increasing)

• exponential decay (decreasing)

• both growth and decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Pick the equation that represents exponential growth (is increasing).

• y=2(0.5)^x

• y = 0.5(2)^x

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Which the following graphs represents an exponential decay function?

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• 

Which equation matches the graph?

• y = 4^x + 3

• y = 4^x - 3

• y = 4^{(x + 3)}

• y = 4^{(x - 3)}

Which equation matches this graph?

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

What is the domain of the function?

• x > -4

• y > -5

• y < -4

• all real numbers

Determine the range for the function.
 $f\left(x\right)=2^{x-4}+5$  

• y > 4

• y > 2

• y > 3

• y > 5

What is the asymptote of y = 2^(x-3) ?

• y = 0

• y = -3

• x = 0

• x = -3

What is the asymptote for the equation $y=2^{x+5}-7$  ?

• y = -7

• y = 7

• y = 5

• x = 2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

What is the end behavior of the graph?

• As x →∞, y→⁻∞ and as x →⁻∞, y→⁻∞

• As x →∞, y→∞ and as x→⁻∞, y→∞

• As is x →∞, y→∞ and as x→⁻∞, y→2

• As x →∞, y→2 and as x→⁻∞, y→∞

Tags

CCSS.HSF-IF.C.7D