Exponential functions have the form f(x)=b^x. What type of an exponential function would you have (increasing or decreasing) if the value of b is greater than one?

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freckledspots freckledspots · Answer 1 · 2019-07-11T20:56:39+02:00

Answer:

Increasing

Step-by-step explanation:

Let's see what happens if we choose a value for b greater than 1.

Let's try b=2.

[tex]f(x)=2^x[/tex].

I'm going to keep increasing x. If y increases, the the function is increasing. If y decreases, the function is decreasing.

Let's start with x=1.

[tex]y=2^1=2[/tex]

Now x=2.

[tex]y=2^2=4[/tex]

The y's got higher as you increased x so the function is increasing.

abidemiokin abidemiokin · Answer 2 · 2021-10-05T12:26:20+02:00

The function keep increasing for the varying value of x, hence the exponential function is increasing

Given the exponential function f(x) = [tex]b^x[/tex]

We are to check if the function is increasing or decreasing if b is greater than 1

Let b = 2 and x = 1

[tex]f(1) = 2^1\\f(1) = 2[/tex]

Let b = 2 when x = 2

[tex]f(2)=2^2\\f(2)=4[/tex]

Let b = 2 when x = 3

[tex]f(3)=2^3\\f(3)=8[/tex]

You can see that the function keep increasing for the varying value of x, hence the exponential function is increasing

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