help me pleaseee!!!

Question

f(x) = –3(4)^x − 6

What is f(2) for the equation

What is f(6) for the equation

Answer 1

Hi Christina,

for f(x) = –3(4)^x − 6

1. What is f(2) for the equation:

This means we need to replace it with 2 wherever you see x, so

–3(4)^(2) − 6

= -3 * 16 - 6

= -48 - 6

= -54

1. What is f(6) for the equation:

This means we need to replace it with 6 wherever you see x, so

–3(4)^(6) − 6

= -3 * 4,096 - 6

= -12,288 - 6

= -12,294

Hope this helps.

Answer 2

f(x) = –3(4)^x − 6

What is f(2) for the equation?

What is f(6) for the equation?

Christina, I hope that I typed the function correctly. If I did not—for instance, if parentheses are missing—then my answers will not be correct though the method will be.

The function notation confuses a lot of students. Think of the f(x) function as a box into which you feed in an x-value and some value called f(x) is produced. The function definition, in this case –3(4)^x − 6, tells you what will be produced.

So, the first question is asking, what is produced when 2 is fed into the function box. The second question is asking what is produced when 6 is fed into the function box.

I will show you how to find f(2), and then you will be able to find f(6) for yourself.

To find f(2), substitute 2 everywhere you see an x.

f(x) = –3(4)^x − 6

f(2) = –3(4)² − 6

f(2) = (–3)(16) – 6

f(2) = –48 – 6

f(2) = –54

If you were to plot this point, you would plot (2,–54).