Question

Can someone help and explain this problem to me? I’m stuck

Answer 1

Answer:

  c.  8 units

Step-by-step explanation:

You are to find the y-intercepts of the two functions given, then report the difference between them. The y-intercept is the y-value when x=0.

For f(x), we have ...

  f(0) = 3·2^0 = 3·1 = 3

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For the table, we can see that x=0 is halfway between x=-2 and x=2, so the y-intercept can be expected to be halfway between y=3 and y=-13. That value for y is ...

  g(0) = (3 + (-13))/2 = -10/2 = -5

That is, the y-intercept of g(x) is -5.

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The difference between f(0) and g(0) is ...

  f(0) -g(0) = 3 -(-5) = 8 . . . . units