Exponential functions study guide

Which of the following are exponential functions?

A. f(x) = 3e-2 x

B. g(x) = 2x/2

C. h(x) = x3/2

D. g(x) = 15 / 7x

Of these functions, only h(x) is not an exponential function. Remember that the independent variable must appear in the exponent for the function to be exponential.

Question: 2x = 32, What is x?

Answer: x = 5

Question: 5x = 1/125, What is x?

Answer: x = -3

Question: (1/3)2x = 243, What is x?

Answer: x = -5/2

Question: 45 = 53x, What is x?

Answer: x = 0.7884

Question: 500 = 1000e-.75 x, What is x?

Answer: x = 0.9242

Question: 56 = 14(1 + e.195 x), What is x?

Answer: x = 5.6339

Classify: f(x)=-3(1.75)x-4+6

Exponential Growth

Classify: f(x)=4/5(.8)x-9

Exponential Decay

Classify: f(x)=-19-x

Exponential Decay

What is the base in: f(x)=2(6)x+3-8

6

What is the horizontal asymptote for the graph of

f(x)=-2(3)x+4-8

y=-8

What is the horizontal asymptote for the graph of

f(x)=13(0.5)x-6

y=0

What is the range for

f(x)=5x-6-3

(-3,∞)

What is the range for

f(x)=-(1/3)x+4

(-∞, 0)

Where is the anchor point for

f(x)=-(1/3)x+4+9

x=-4

If you want to make the most money, should you take 10 million dollars or a penny doubled every day for 30 days?

the penny

aymptote

an invisible line that stop the graph from hitting a cordinate on the the y axis; the asymptote is where the line would hit

growth

increasing in size infinitely

decay

infinitely decreasing