1. Unit 6: Exponential Functions
L2 – Tables of Exponential and Linear Functions
Investigating Tables of Exponential and Linear Functions
Linear:
The table of a linear function shows that the x-values change by a amount.
The y-values are by a constant amount.
Example: x y -2 8 -1 10 12 1 14
The x-values are increasing by and
the y-values are being by 2.
Remember the equation for a line is y = mx + b.
From the table, what is the y-intercept?
What is the slope of this line?
Therefore, what is the equation of this function?

2. Exponential:
The table of an exponential function shows that as the x-values change by a amount,
the y-values are by a constant amount.
Example: x y 2 1 6 18 3 54 4
162
The x-values are increasing by and
the y-values are being by 3.
Remember, the general equation of an exponential function is f(x) = a(bx).
What is the “a” value for the above exponential function?
What is the “b” value? (HINT: what are the y-values being multiplied by?)
Therefore, what is the equation of this function?

3. Practice:
Determine which type of function (linear or exponential) each table represents. Then write the equation
for the function.
1.) 2.) 3.) 4.) x Y -4 3 -2 2 1 4 -1 6 8 -3 x Y -1
1.5 3 1 6 2 12 24 4 48 5 96 x Y -2 16 -1 8 4 1 2 3 .5
.25 x Y -1 2 1 5 8 3 11 4 14 17

4. Write the equation for each graph.
5.) )