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omeli [17]
3 years ago
7

Interpret the following exponential function:

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer:

d. Growth factor is 1.07^{x} ; y-intercept is 6

Step-by-step explanation:

I. When y = 6(1.07^{x})

If growth factor means

          y.value will increase if x.value is increase

Prove Given x = 1, 2

 y = 6(1.07)^1

      = 6.42

  y = 6(1.07)^2

        = 6.866

That makes 1.07 is growth factor

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Anon25 [30]

We have been given a quadratic function f(x)=(x-5)^{2} +2 and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is [2,\infty).

If we restrict the domain of this function to either (-\infty,5] or [5,\infty), it will become one to one function.

Let us know find its inverse.

y=(x-5)^{2}+2

Upon interchanging x and y, we get:

x=(y-5)^{2}+2

Let us now solve this function for y.

(y-5)^{2}=x-2\\
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Hence, the inverse function would be f^{-1}(x)=5+\sqrt{x-2} if we restrict the domain of original function to [5,\infty) and the inverse function would be f^{-1}(x)=5-\sqrt{x-2} if we restrict the domain to (-\infty,5].

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3 years ago
Is the function even, odd or neither?<br> y=x^2-2x-8
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It is neither.

To be even, f(x) must equal f(-x).

If you substitute -x for x, you'd get

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This is not the same as the original, so this is not even.

To be odd, f(x) must equal -f(-x).

If you take the -x substitution from the last step and then multiply it by -1, you'd have:

      y = -1 (x^2 +2x -8)

      y = -x^2 -2x +8

This is not the same as the original either.

The function is neither even nor odd.

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