Question

Please Help!!!!

The linear function F(x) passes through the points (0,5) and (2,7)
A few values from the exponential function g(x) are shown in the table
-1 2/5
2 50
3 250
What is the positive difference in y intercept value of f(x) and g(x)

Answer 1

3

Explanation:

Answer 2

3

Explanation:

The linear function

One of the points is (0,5), so

f(0) = 5

The y-intercept is at (0,5).

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The exponential function

The general formula for an exponential function is
`y = a(b)^(x)`.

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Calculate the value of b

y₃/y₂ = [a(b)³]/[a(b)²]

250/50 = b

b = 5

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Calculate the value of a

250 = a(5)³

250 = a × 125

a = 2

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`g(x) = 2(5)^(x)`

g(0) = 2(5)⁰

g(0) = 2 × 1

g(0) = 2

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|f(0) – g(0)| = |5 – 2|

|f(0) – g(0)| = 3

The positive difference in the y-intercepts of f(x) and g(x) is 3.

You can see the two y-intercepts on the graph below.