Exponential Functions Jeopardy

Transformations

100

y=2^x+5+6

Left 5, Up 6

200

y=(1/2)(4)^x-7-3

Right 7, Down 3

300

y=6^x-2+3

Right 2, Up 3

400

y=-3^x+4-5

Reflection over the x-axis, Left 4, Down 5

500

y= 5^x+2+4

Left 2, Up 4

Exponential Function Graphing

100

What is the domain of an exponential function?

All real numbers

200

What is the asymptote of the function? y=4^x+2-3

y=-3

300

What is the range of the function? y=(1/2)(8)^x-5

y>-5

400

What is the y-intercept of an exponential function? y=b^x

(0,1)

500

What is the y-value when x =-1 for the equation y=4^x+2+1

y=1.25

Properties of Exponential Functions

100

x⁵y² x 3x³y⁴

3x⁸y⁶

200

12x⁷y³/3x²y⁴

4x⁵/y

300

(2x³y⁵)⁴

16x¹²y²⁰

400

6x^-3y²

6y²/x³

500

(9x⁵y)⁰

1

Solving Exponential Equations

100

4^x=32

x=2.5

200

9^x+2=27^-x

x=(-4/5)

300

125^x=25

x=(2/3)

400

2^16x-8=2^-6

x=(1/8)

500

2^4x-2=2⁶

x=2

Exponential Equations Cont.

100

The population of Blue Ridge is growing at a rate of 5.4% per year. There are currently 2,000 people in town. What is the equation used to express the growth rate? How many people will there be in 10 years?

2,000(1+0.054)^t

^{About 3,384 people will be in town in 10 years.}

200

Amanda and April both invest $200. Amanda invested in an account that will earn $8 each month. April invested in an account that will earn 5% interest every month. How much more money will April have than Amanda after one month?

April will have $2 more.

300

The graphs of a linear f(x) and exponential g(x) are shown. What are the values of F(2) and G(2)?

F(2) = 5, G(2) = 4

400

The number of bacteria increases by 15% each hour. If there were initially 600 bacteria, what is the function that can be used to determine the number of bacteria in x hours?

y=600(1.15)^x

500

Given that the graph represents F(x), what is F(2)?

F(2)=-3