Exponential Functions Attributes

What is the equation of the horizontal asymptote for following exponential function?

• y = 1

• y = 2

• y > 1

• (0, 2)

Which parent function matches the graph?

• f(x) = x

• f(x)= x²

• f(x) = |x|

• f(x) = ab^x

What is the equation of the vertical asymptote?

• x = -2

• y = -2

• x = 1

• y = 1

Tommy starts an ant farm will 100 ants. The ants increase at a rate of 4% each day. How many ants will Tommy have after 12 days?

• 160

• 61

• 144

• 105

What is the growth or decay rate of h(t) = 15(.45)^t

• growth rate 45%

• decay rate 45%

• growth rate 55%

• decay rate 55%

Money is deposited into an account with interest using the formula A = Pe^rt . How many years will it take for the amount of money to double if the interest is compounded continuously at 5%?

• 13 years

• 14 years

• 1 year

• 2 year

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Dave starts a savings account with an initial amount of $150. The account increases 35% each year? Which equations represents this scenario?

• y = 150(35)^x

• y = 150(1.35)^x

• y = 150(0.35)^x

• y = 35(1.150)^x

Which of the following functions shows an initial amount of $18 and a decrease of 35% each year?

• y = 18(35)^x

• y = 18(1.35)^x

• y = 18(0.85)^x

• y = 35(1.15)^x

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months? Write an exponential function to model the situation and solve.