Key Features of Exponential functions

Given y=3^x determine the initial value

• 1

• 3

• 0

• 1/3

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.LE.B.5

Is the function below increasing or decreasing?

f(x)=2(4)^x.

• Increasing

• Decreasing

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Given the function, f(x) = 6.5(0.85)^x, identify the constant ratio.

• 6.5

• 0.85

• x

• f(x)

Tags

CCSS.HSF.LE.B.5

What is the initial value (y-intercept) of the function?

• 2

• 3

• 1

• -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following statement about the graph of y=6(.5)^x is TRUE?

• The equation of the asymptote is x=0.

• The y-intercept is at 6

• The graph is increasing

• The graph will never cross the y axis

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Which equation best represents the graph above?

(Hint: Think about the y-intercept and if it is increasing or decreasing)

• f(x)=5(.5)^x

• f(x)=10(.25)^x

• f(x)=10(5)^x

• f(x)=10(.75)^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which of the following statements is true about the graph of the equation above?

• The equation of the asymptote is y=0.

• The function is increasing

• The initial value is 3/4

• The constant ratio is 1/4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which equation models the graph?

• $y=1+2x$

• $y=2x$

• $y=2^x$

• $y=2\cdot1^x$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which function models the values in the table?

• $f\left(x\right)=125\left(5\right)^x$

• $f\left(x\right)=125\left(\frac{1}{5}\right)^x$

• $f\left(x\right)=125-5^x$

• $f\left(x\right)=125-5x$

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2