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The exponential function h whose graph is given below, can be written as h(x)=a*b^x Complete the equation for h(x)

The exponential function h whose graph is given below, can be written as h(x)=a*b-example-1
User Zhianc
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2 Answers

10 votes

Answer:

h(x) = 3*2^x

Explanation:

User DadyByte
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10 votes

Answer:

  • h(x) = 3*2^x

Explanation:

Given

  • Equation h(x)=a*b^x and its graph

Two points given on the graph:

  • h(0) = 3 and
  • h(1) = 6

Substitute the coordinates and simplify:

  • ab^0 = 3 ⇒ a = 3
  • ab^1 = 6 ⇒ ab = 6

Divide the second equation by the first to find the value of b:

  • b = 6/3 = 2

The equation is:

  • h(x) = 3*2^x
User Joao Paulo
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