Standard Form
Vertical Shifts
Writing Equations
Rewind
Growth or Decay
100

Consider the function f(x)= 3x. Name the a and b value of the function.

a=1 and b=3

100

Write an equation for an exponential function with a=2, b=12, and k=3

f(x) = 2(12)2 + 3

100

There are 20 birds at the sanctuary. The population grows at a rate of 23% per year. Write an equation.

f(x)=20(1.23)x

100

What is the domain and range of a linear function?

All real numbers

100

j(x) = 4(1/4)x

Determine the growth or decay factor



decay factor of 75%.

200

f(x) = 500(0.85)x. Name the a and b value of the function.

a=500 and b=0.85

200

Write an equation for an exponential function with a=1/2, b=2/3, and k=-7

f(x)=1/2 (2/3)x - 7

200

Ryan bought a brand new car for $18,000. Its value depreciated at a rate of 1.2%. Write a function to represent the value of the car over time. 

f(x)=18000(0.988)x

200

What is the Pythagorean Theorem? Draw a triangle and identify each side. 

a2+b2=c2

200

h(x)=2(5)x

Determine the growth or decay factor

growth factor of 400%

300
f(x)=12(1.13)x. By what percentage is this function increasing?

13%

300

Give an exponential equation where a=4000, b=2, and k=10. At what value for y is the horizontal asymptote located?

y=4010

300

Ms. Gerety borrows $40,000 from the bank to fix the siding on her home. The bank charges her an annual interest rate of 7.9%. Write an equation to show how much Ms. Gerety owe each year.

f(x)=40,000(1.079)x

300

What is the equation for a line in point-slope form?

y-y1=m(x-x1)

300

f(x) = 6(1.05)x

Determine the growth or decay factor

Growth factor of 5%

400

f(x) = 500(0.85)x. Find f(6.5). Round to the nearest hundredths.

173.86

400

Give an exponential equation where a=200, b=1/3, and k=-15. At what value for y is the horizontal asymptote located?

y=185

400

In 2012, the pop. of a city was 63,000. By 2017, the pop. was 54,100. Find the b-value.

b=0.97

400
Write 5(2/3) as a radical.

cubed root of 5 squared

400

p(x) = 2(1.34)x

Determine the growth or decay factor

Growth factor of 34%

500

f(x) = 500(0.85)x. Estimate the value of x when f(x)=222.

x=5

500

Write an equation with a horizontal shift. Identify the a value, b value, and k value. Write an equation for the horizontal asymptote. 

Answers vary. 

500

Ainsley works at a bookstore. Her starting salary is $24,500, and she gets a 3% raise each year. How many years until she makes approximately $35,000. 

12 years

500

What is Ms. Gerety's favorite ice cream flavor?

Mint Chocolate Chip

500
g(x)=500

remains constant. No growth or decay.

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