Adding Exponentials

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit

• Horizontal shift right one unit

• Vertical shift up one unit

• Vertical shift down one unit

Write the exponential regression equation for the data.

• Y=8.16(2.7)^x

• Y=81.6(2.7)^x

• Y=8.16(.27)^x

• Y=8.16(27)^x

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

• Increasing

• Decreasing

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

• The number of elephants was 1,015 in 1975.

• The number of elephants increases by 1.5% each year.

• The number of elephants increases by 101.5% each year.

• The number of elephants is multiplied by 1.015 each year.

This function has a pattern of multiplying or dividing the same number from one y-value to the next y-value as the x-value increases by one. 

• Linear

• Exponential

• Neither

Which function describes the table?

• linear

• exponential

• neither

Which equation describes the story below?
You have $5 and triple your money every day. 

• y=5(3)^x

• y=5^x

• y=5(3x)

• y=15^x

Find the exponential model of the function.

• y = 100(8.8)^x

• y = 100(1.88)^x

• y = 100(.88)^x

• y = 100(.12)^x

Use the exponential regression to find an equation that fits the​ data, where x is the years since 1990.

• y=8.92•1.23^x

• y=1.23•8.92^x

• y=8.92+1.23x

• y=8.92x+1.23

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

• y = 128x + 0.5

• y = 0.5x + 128

• y = 128(0.5)^x

• y = 128(0.5)^x-1