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The graph of an exponential function has a y-intercept of 7 and contains the point (4,112). Construct the exponential function That describes the graph.

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abidemiokin

The exponential function that describes the graph is [tex]y=7\cdot 2^x[/tex]

The standard form of an exponential function is expressed as [tex]y=ab^x[/tex]

a is the y-intercept

(x, y) is the point on the graph

Given the following expression

a = 7

(x, y) = (4, 112)

Substitute the given values into the exponential equation

[tex]y = ab^x\\112=7\cdot b^4\\b^4 = \frac{112}{7}\\b^4= 16\\b =\sqrt[4]{16}\\b = 2[/tex]

Get the required exponential equation

Recall that [tex]y=ab^x[/tex], hence the required equation will be [tex]y=7\cdot 2^x[/tex]

Learn more here: https://brainly.com/question/19245707

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