Question

5. Evaluate the function f (x) = 4•7^x for x=-1 and x= 2. Show your work.

Answer 1

See below

Explanation:

`f(x) = 4. {7}^(x) \\ \\ plug \: x = - 1 \\ \\ f( - 1) = 4. {7}^( - 1) \\ \\ f( - 1) = (4)/(7) \\ \\plug \: x = 2 \\ \\ f( 2) = 4. {7}^( 2) \\ \\ f( 2) = 4 * 49 \\ \\f( 2) = 196 \\ \\`

Answer 2

Given

f

(

x

)

=

4

⋅

7

x

For

x

=

−

1

we have

f

(

−

1

)

=

4

⋅

7

−

1

=

4

7

using

a

−

n

=

1

a

n

For x=2, we have

f

(

2

)

=

4

⋅

7

2

=

196

Explanation: