Question

Please help. I will mark BRAINLIEST! Find an equation for the graph sketched below.

Answer 1

9514 1404 393

Answer:

  f(x) = 2(3^x) -5

Step-by-step explanation:

The function is apparently exponential, with a vertical offset. The form of it will be ...

  f(x) = a(b^x) +c

For large negative x, the value of f(x) approaches c, which appears to be -5 on the graph. For x=0, the value of f(x) is a+c, so we have ...

  a -5 = -3

  a = 2 . . . . . . add 5

For x=1, it appears that f(1) = 1. This tells us ...

  f(x) = 2(b) -5 = 1

  2b = 6 . . . . . . . . . . add 5

  b = 3 . . . . . . . . divide by 2

Then the function equation is ...

  f(x) = 2(3^x) -5