Exponential Equations and Applications

An equation in the form y=b^x will represent decay if...

• b < 0

• b > 1

• 0 < b < 1

Given y=3^x determine the y-intercept 

• (0,1)
• (0,3)
• No Y-intercept
• y=1

What does this graph represent?

• Exponential Growth

• Exponential Decay

What does the graph represent?

• Exponential Growth

• Exponential Decay

Given the function y = 3^x - 4, what is the domain?

• all numbers less than 3

• all numbers less than 4

• all real numbers

• all numbers greater than 3

Given the function y = 3^x - 4, what is the range?

• y > -4

• y < -4

• y > 4

• y < 4

Given the function y = 3^x - 4, what is the y - intercept?

• (0, 0)

• (0, 3)

• (0, -3)

• no y-intercept

The function y = 3^x - 4 has a

• vertical stretch by a factor of 3

• vertical compression by a factor of 3

• vertical translation of -4

• vertical translation of 4

• vertical compression of 5

• vertical stretch of 5

A population of a city is 422,000 and increases by 12% each year. Use an exponential function to find the population of the city after 8 years.

• 100,144 people

• 1,083,024 people

• 1,044,856 people

• 200,000 people