Exponential Graphs Equations where the variable (x) is the POWER y = ab x – h + k h moves the graph horizontally k moves the graph vertically.

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Presentation transcript:

Exponential Graphs Equations where the variable (x) is the POWER y = ab x – h + k h moves the graph horizontally k moves the graph vertically

Vocabulary Asymptote – line that graph get closer and closer to but NEVER touches y = k Asymptote: y = -1

Exponential Growth b > 1

Exponential Growth b > 1 If a > 0, the graph goes up.

Exponential Growth b > 1 If a > 0, the graph goes up. If a < 0, the graph goes down.

Domain and Range Domain – the values that x can be Range – the values that y can be

Domain and Range Domain – the values that x can be Range – the values that y can be ex.: y = 3 x

Domain and Range Domain – the values that x can be Range – the values that y can be ex.: y = 3 x Domain: Range: Asymptote:

Domain and Range Domain – the values that x can be Range – the values that y can be ex.: y = 3 x Domain: all real numbers Range: y > 0 Asymptote: y = 0

Compound Interest

A: amount in account after t years P: how much money you start with (principle) r: rate of interest (usually a percentage) n: number of times compounded Annually: n = 1 Semi-Annually: n = 2 Quarterly: n = 4 Monthly: n = 12 Daily: n = 365 t = time the money is invested (in years)

Compound Interest If you invest $500 at 8% compounded quarterly for 30 years, how much money will you have when you retire?

Compound Interest If you invest $500 at 8% compounded quarterly for 30 years, how much money will you have when you retire? P = $500 r = 8% =.08 n = 4 t = 30

Compound Interest If you invest $500 at 8% compounded quarterly for 30 years, how much money will you have when you retire? P = $500 r = 8% =.08 n = 4 t = 30

Compound Interest If you invest $500 at 8% compounded quarterly for 30 years, how much money will you have when you retire? P = $500 r = 8% =.08 n = 4 t = 30

Compound Interest If you invest $500 at 8% compounded quarterly for 30 years, how much money will you have when you retire? P = $500 r = 8% =.08 n = 4 t = 30

Practice You want $7000 in your savings account after 5 years, which pays 3.25% interest compounded monthly. How much money should you deposit into your account?