Name: Algebra 2

Date:

Tables of Exponential Functions

Here are some partially complete input-output tables

1. / x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
y / 1 / 2 / 4 / 8

a. Fill in the table above.

b. To move to the right in the table, you multiply by ______.

c. The starting amount is ______.

d. The function formula is y = ______

2. / x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
y / 25 / 125 / 625 / 3,125

a. Fill in the table above.

b. To move to the right in the table, you multiply by ______.

c. The starting amount is ______.

d. The function formula is y = ______

3. / x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
y / 40 / 80 / 160

a. Fill in the table above.

b. To move to the right in the table, you multiply by ______.

c. The starting amount is ______.

d. The function formula is y = ______

4. / x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
y / 1 / 36 / 216

a. Fill in the table above.

b. To move to the right in the table, you multiply by ______.

c. The starting amount is ______.

d. The function formula is y = ______

The next three problems are harder because the # you multiply by is NOT a whole number.

To figure out what that number is, take a y and divide by the number directly before it.

5. / x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
y / 10 / 7.5 / 5.625

a. Fill in the table above.

b. To move to the right in the table, you multiply by ______.

c. The starting amount is ______.

d. The function formula is y = ______

6. / x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
y / 5.5 / 6.05 / 6.655

a. Fill in the table above.

b. To move to the right in the table, you multiply by ______.

c. The starting amount is ______.

d. The function formula is y = ______

7. / x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
y / 12 / 9.6 / 7.68

a. Fill in the table above.

b. To move to the right in the table, you multiply by ______.

c. The starting amount is ______.

d. The function formula is y = ______

8. Make tables for these other exponential functions.

a. y = 6x

x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7
y

b. y = 5 · 2x Order of operations hint: Make sure you do the 2x first, multiply by 5 last.

x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7
y

c. y = 2 · 5x

x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7
y

9. f(x) =3· 4x

a. Find f(2).

b. Find f(-2).

c. Find the output when the input is 0.

d. Find f(x) when x is -3.

10.

a. Find g(2).

b. Find g(-2).

c. Find the output when the input is 0.

d. Find g(x) when x is -3.