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Which function's graph has a y - intercept of 1? h(x)=5(2) x h(x)=5(0.5) x +0.5 h(x)=(0.5) x +1 h(x)=0.5(2) x +0.5

User TheBakker
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3 votes

Final answer:

The function h(x) = (0.5)x + 1 has a y-intercept of 1. Therefore correct option is A

Step-by-step explanation:

The function h(x) = (0.5)x + 1 has a y-intercept of 1.

To find the y-intercept of a function, we set x = 0 and solve for y. In this case, when x = 0, the function becomes h(0) = (0.5)(0) + 1 = 1. Therefore, the y-intercept is 1.

On the other hand, the other functions listed do not have a y-intercept of 1. For example:

  • h(x) = 5(2)x has a y-intercept of 0.
  • h(x) = 5(0.5)x + 0.5 has a y-intercept of 0.5.
  • h(x) = (0.5)x + 1 has a y-intercept of 1.
  • h(x) = 0.5(2)x + 0.5 has a y-intercept of 0.5.

User LeRoy
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