Exponential Functions Transform

Is this exponential growth or decay?

• Growth

• Decay

What is "a", the initial value, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

What type of function is y=7(5)^x

• Exponential Growth

• Linear Function

• Exponential Decay

• Quadratic Function

What is the function of the graph?

Given the original exponential function defined by y=4^x, how would the graph change if the function were:y=2(4)^x-3+1?

• Interseccion y: 2, right 3, and up 1

• Interseccion y: 2, left 3 and down 1

• Interseccion y: 4, right 3, and down 1

• Interseccion y: 4, left 3, and up 1

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

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

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 1990?

• 0 people

• 104

• 6,498.64

• 6191

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?

• 9766

• 9006

• 9765

• 5433