Evaluate and Graph Exponential Functions

Which function is exponential?

• f(x)

• h(x)

• g(x)

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 35(0.35)^x

• y = 35(1.15)^x

What is the range of the function?

• -2 < y < 5

• 0 < y < infinity

• y > 4

• negative infinity < y < infinity

Evaluate the exponential function when x = 0

Hint: PEMDAS

• 3.7

• 1

• 0

• 2.14

What type of function is
y = 2(0.75)^x
EXPLAIN

• Exponential Growth

• Linear

• Exponential Decay

• None of the Above

What is the initial amount, for the function:

f(x) = 300(1.16)^x

• 300

• 1.16

• .16

• 3

• 16%

In Jack and the beanstalk, the beanstalk grows very rapidly. It began at a length of 3 ft and grew at a rate of 14% per minute

Write the exponential function for this example

• y=6(0.14)^x

• y=3(17)^x

• y=3(1.14)^x

• y=3(0.86)^x

• y=6(1.04)^x

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: −∞<x<∞
  Range: y>0

• Domain: −∞<x<∞
  Range: y>1

• Domain: −2<x<∞
  Range: y>0

• Domain: −∞<x<∞
  Range: y>0

Which equation is represented by the table?

• y = 40(2)^x

• y = 40(1/2)^x

• y = 40 - 2x

• y = 40 - 1/2x

Is this exponential growth or decay?

• Growth

• Decay