7.2 Writing Exponential Functions

7.2 Writing Exponential Functions

Writing Equations from a graph:

1. Find the y intercept (a value)

2. Find at least one other point on the function

3. What do you have to multiply to get the y values of the 2 points? (b value)

Writing Equations from a Table

1. Find the y intercept (where x is zero)

2. Look for a pattern in the y column--what is being multiplied each time?

Multiple Choice

What is the a value of the equation for this function?

• 1

• -1

• -2

• 0.5

Multiple Choice

What is the b value of the equation of this function?

• 2

• 0.5

• -2

• 0.25

Fill in the Blank

Write the equation for the table in the form

 $y=a\left(b\right)^x$  Use the ^ symbol for exponents (y=a(b)^x) Do not include spaces.

Multiple Choice

What is the a value of the equation of this graph?

• 2

• 1.5

• 3

• 1

Multiple Choice

What is the b value of the equation for this graph? (Hint: work backwards and divide if you can't find what multiplies)

• 1.5

• 3

• 2

• 1

Fill in the Blank

Write the equation for the graph. Use the ^ symbol for exponents (y=a(b)^x) Do not include spaces.