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sukhopar [10]
4 years ago
12

PLEASE PLEASE HELP PLEASE THANK YOU I REALLY NEED IT PLEASE !!!! This table shows values represented by an exponential function

What is the average rate of change for this function for the interval from x=1 to x=3 A)12 B)6 C)24 D)9

Mathematics
2 answers:
Ad libitum [116K]4 years ago
7 0

Answer:

The answer would be A

Step-by-step explanation:

you would subtract 3 from 27 then you would get 24 and divide by2

Vinvika [58]4 years ago
5 0

Answer:

It seems to be D)9 from intervals 1 to 3...

Step-by-step explanation:

Can't really explain that well, but the rate of change in an exponential function should always be decreasing or increasing. Instead of it being constant like a linear equation.

I.E. Not additive, instead to find it we need to divide.

\frac{27}{3} =9

So, it should be 9. However, It does not seem to be maintained for the values after 3. Oh well!

Hope this helps!

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Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Aloiza [94]

The equation of the polynomial equation from the properties is P(x) = 8/15(x + 3)(x + 1)(x - 5)

<h3>How to determine the polynomial expression from the stated properties?</h3>

The given parameters are

Degree = third degree

Zero = -3, -1 and 5

y-intercept = -8

There are no complex numbers in the above zeros

This means that, the given zeros are the only zeros of the polynomial

i.e Zero = -3, -1 and 5

The equation of the polynomial is then calculated as

P(x) = Leading coefficient * (x - zero)^multiplicity

So, we have

P(x) = a * (x - (-3)) * (x - (-1)) * (x - 5)

This gives

P(x) = a * (x + 3) * (x + 1) * (x - 5)

The y-intercept is -8

This means that

P(0) = -8

i.e. when x = 0, P(x) = -8

So, we have the following representation

a * (0 + 3) * (0 + 1) * (0 - 5) = -8

Evaluate the products

So, we have the following representation

a * -15 = -8

Divide both sides by -5

a = 8/15

Substitute a = 8/15 in P(x) = a * (x + 3) * (x + 1) * (x - 5)

P(x) = 8/15 * (x + 3) * (x + 1) * (x - 5)

So, we have

P(x) = 8/15(x + 3)(x + 1)(x - 5)

Hence, the equation is P(x) = 8/15(x + 3)(x + 1)(x - 5)

Read more about polynomial at

brainly.com/question/17517586

#SPJ1

4 0
1 year ago
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