Exponential Growth & Decay

Objective: Be able to graph and find equations of exponential equations.

TS: Explicitly assess information and draw conclusions.

Warm-Up:

1) Graph y = 2x

Graphs & Translations

Graph each of the below:

1) f(x) = 3x–2 – 1

Graphs & Translations

Graph each of the below:

2) g(x) = 4-x+2 + 2

Graphs & Translations

Graph each of the below:

3) m(x) = 2(½)3x – 3

Graphs & Translations

Graph each of the below:

4) n(x) = ¼-x + 2 + 1

Graphs & Translations

Graph each of the below:

5) h(x) = ½(e)-x + 2

Examples of graphs

Find the equation for the below graph, given it is a transformation of y = 2x

Examples of graphs

Find the equation for the below graph, given it is a transformation of y = 3x

Find equations

1) Assuming no translations, find the exponential equation which passes through (0, 3) and (-2, ¾)

Find equations

2) Find an equation for amount of radium left given you initially have 25 grams and its half life is 1620years.

Find equations

3) Find an equation for the amount of money in an account which has an annual interest rate of 6% compounded quarterly where you initially deposited $100.

Word problems

1) You put $150 into an account which gives you 2.5% interest compounded continuously. How much money will be in the account after 10 years?

Word problems

2) There were 20 penguins in a local zoo last year. This year there are 25. Assuming the percent increase remains constant, when will the zoo exceed 100 penguins?