Unit 4: Exponential Functions

Question 1

Arithmetic sequences behave like…

Answer 1

linear functions.

Question 2

Geometric sequences behave like…

Answer 2

exponential functions.

Question 3

Arithmetic sequences have a common…

Answer 3

difference.

Question 4

Geometric sequences have a common…

Answer 4

ratio.

Question 5

Arthimetic formula

without knowing the common difference

Answer 5

Question 6

Arthimetic formula

with knowing common difference

Answer 6

Question 7

Geometric formula

without knowing the common ratio

Answer 7

Question 8

Geometric formula

with knowing the common ratio

Answer 8

Question 9

Exponential function

general form

Answer 9

Question 10

Exponential Growth

Answer 10

Question 11

Exponential Growth

Answer 11

Question 12

Exponential Decay

Answer 12

Question 13

Exponential Decay

Answer 13

Question 14

Product Property

Answer 14

Question 15

Power Property

Answer 15

Question 16

Negative Exponent Property

Answer 16

Question 17

Every horizontal translation of an exponential function is equivalent to…

Answer 17

a vertical dilation of the exponential function

Question 18

Calculator Steps for finding a model for a list of data…

Answer 18

1. Stat, 1:Edit, enter data
2. Stat, Calc, choose regression model
3. Store RegEq: Vars, Y-VARS, 1:Function, 1:Y1
4. Calculate

Question 19

How do you undo an exponent?

Bring the exponent out of the powers?

Answer 19

Take the natural log of both sides of the equation.

Question 20

Residual

Answer 20

Actual output value - Predicted output value

Question 21

Residual Plots

Answer 21

If the residual plot shows no clear pattern, then the model that was used IS APPROPRIATE.