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devlian [24]
3 years ago
9

Need help with What is F(x)=a*b^x please explain the steps

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

9514 1404 393

Answer:

  • 3
  • 3
  • (1,6)
  • 2
  • f(x) = 3·2^x

Step-by-step explanation:

The blanks you're to fill in explain the steps.

The y-intercept is the value of the function when x=0. It is where the graph crosses the y-axis.

  f(0) = a·b^0 = a·1 = a

Reading the y-intercept from the graph, we see ...

  The y-intercept is 3. The a-value of the function is 3.

__

The point when x=1 is ...

  f(1) = a·b^1 = 3b

Reading the value from the graph, we find the point to be (1, 6). This means ...

  3b = 6

  b = 2 . . . . . . . divide both sides by 3

 The point when x=1 is (1, 6). The b-value of the function is 2.

 The equation of the function is f(x) = 3·2^x.

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