Describe Exponential Functions

Given g(x)=5^x
Write a function that is reflected over the line x=0 and translated 4 units to the right. 

• f(x)= -5^x-4

• f(x)= -5^x+4

• f(x)= 5^(x-4)

• f(x)= 5^-(x-4)

Tags

CCSS.HSF.BF.B.3

Given g(x)=(1/2)^x
Write a function that is reflected over the line y=0 and translated 4 units up. 

• f(x)= -(1/2)^x+4

• f(x)= -(1/2)^x+4

• f(x)= (1/2)^x-4

• f(x)= -(1/2)^x+4

Tags

CCSS.HSF.BF.B.3

Given y=4^(x+1) determine the y-intercept

• (0,1)

• (0,4)

Tags

CCSS.HSF-IF.C.7E

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

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1 + .08)^x

• y=15,000(1 - .08)^x

• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

Which function represents the table of values? 

• f(x) = 4x

• f(x) = x³

• f(x) = 4^x

• f(x) = 4^x-1

Tags

CCSS.HSF.LE.A.2

Given f(x)=5^x write a function that is reflected over the vertical line x=0

• g(x) = -5^x

• h(x)= 5^-x

Tags

CCSS.HSF.BF.B.3

What is the range of the function f(x) = ⅔^x

• (-∞, ∞)

• (0,∞)

• (-∞,0)

Compare f(x) = 2^x to the basic function h(x) = 2^-x

• Reflection over the line y = 0

• Reflection over the line x = 0

Tags

CCSS.HSF.BF.B.3

State the interval of increasing/decreasing

• (∞, -∞)

• (-∞,∞)