6.3pc MQ Exponential Functions W/O shifts

An exponential equation is a function of the form  $f\left(x\right)=ab^x$ . If 0 < b < 1,  then b in the exponential function would be called a ______________________factor.

Tags

CCSS.HSF-IF.C.8B

True or False

The domain of the exponential function  $f\left(x\right)=ab^x$  where b > 1 is the set of all real numbers

• True, an exponential growth function has no boundaries for x.

• False, you must account for the horizontal asymptote.

• False, you must account for the vertical asymptote.

Tags

CCSS.HSF-IF.C.7E

True or False

The range of the exponential function  $f\left(x\right)=ab^x$  where b > 1 is the set of all real numbers

• True, an exponential growth function has no boundaries for x.

• False, you must account for the horizontal asymptote.

• False, you must account for the vertical asymptote.

Tags

CCSS.HSF-IF.C.7E

Which of the following terms would the corresponding graph be considered?

• Exponential Growth

• Exponential Decay

• Initial Value

• Inverse Function

Tags

CCSS.HSF-IF.C.7E

What type of exponential function is the following function? $y=3\left(2\right)^x$

• Growth, because b = 2

• Growth, because b = 3

• Growth, because the initial value is 3

• Decay, because inside the parantheses is opposite so b = 1/2

Tags

CCSS.HSF-IF.C.8B

What is the x-intercept of the exponential function ?  $y=3\left(2\right)^x$  

• (3, 0)

• (0, 3)

• There is a horizontal asymptote at y = 0 therefore the graph does not cross the x-axis.

• There is a vertical asymptote at x = 0 therefore the graph does not cross the x-axis.

Tags

CCSS.HSF-IF.C.7E

What is the y-intercept of the exponential function?  $y=3\left(2\right)^x$  

• (3, 0)

• (0, 3)

• There is a horizontal asymptote at y = 0 therefore the graph does not cross the x-axis.

• There is a vertical asymptote at x = 0 therefore the graph does not cross the x-axis.

Tags

CCSS.HSF-IF.C.7E

State the initial value of the exponential function?  $y=3\left(2\right)^x$  

What type of exponential function is the following function?  $y=\frac{4}{3}\left(\frac{1}{2}\right)^x$ 

• Growth, because is opposite inside the parantheis so b = 2

• Growth, because 4/3 is greater than 1

• Decay, because the initial value is 4/3

• Decay, because b = 1/2

Tags

CCSS.HSF-IF.C.8B

What is the x-intercept of the exponential function?  $y=\frac{4}{3}\left(\frac{1}{2}\right)^x$ 

• (4/3, 0)

• (0, 4/3)

• There is a horizontal asymptote at y = 0 therefore the graph does not cross the x-axis.

• There is a vertical asymptote at x = 0 therefore the graph does not cross the x-axis.

Tags

CCSS.HSF-IF.C.7E