Answer:
3
Step-by-step 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 [tex]y = a(b)^{x}[/tex].
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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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[tex]g(x) = 2(5)^{x}[/tex]
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.
