Question

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questions.
Online Content: Site 1
Suggest changing to "On the graph of an exponential function representing growth, what happens to the slope of the graph as x
increases?"

Answer 1

The slope also increases

Explanation:

The slope of a function is the ratio of change in y to change in x. For an exponential function f(x) = e^x, the slope of the function is equal to the function, i.e slope = e^x.

For a function represented by
`y=2^x`, this is an exponential function representing growth, the slope of
`y=2^x` is also
`2^x`, therefore as the value of x increases, the value of the slope also increases.

At x = 1, slope = 2^1 = 2, At x = 4, slope = 2^4 = 16.