Exponentials Unit

Given the exponential function:
f(x) = 3(2)^x + 6. Find the y-intercept.

• (0,3)
• (0,6)
• (0,2)
• (0,9)

Tags

CCSS.HSF-IF.C.7E

Given the exponential function: 
f(x) = 3(2)^x + 6. What is the equation of the asymptote?

• y = 3
• y = 6
• x = 2
• x = 6

Tags

CCSS.HSF-IF.C.7E

Is the exponential function growth or decay?   f(x) = 3(2)^x + 6. 

• growth because the base is bigger than 1
• decay because the base is bigger than 1
• growth because the base is less than 1
• decay because the base is less than 1

Tags

CCSS.HSF-IF.C.8B

Given the exponential function: 
f(x) = 2(⅕)^x - 1. Find the initial value. 

• 2
• ⅕
• -1
• 3

Tags

CCSS.HSF.LE.B.5

Given the exponential function: 
f(x) = 2(⅕)^x - 1. Find the range.

• (-1, ∞)
• (1, ∞)
• (2, ∞)
• (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

Convert 3% to a decimal

• 3
• .3
• .03
• .003

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Tags

CCSS.HSF-IF.C.7E