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raketka [301]
2 years ago
15

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

hat describes the graph.
Mathematics
1 answer:
blondinia [14]2 years ago
3 0

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

The standard form of an exponential function is expressed as y=ab^x

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

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

Get the required exponential equation

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

Learn more here: brainly.com/question/19245707

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