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butalik [34]
3 years ago
6

Consider the table for the exponential function, LaTeX: p\left(x\right)=2^xp ( x ) = 2 x, shown below. Calculate the Average Rat

e of Change between the interval [2, 6].

Mathematics
1 answer:
Mice21 [21]3 years ago
3 0

Answer:

15

Step-by-step explanation:

To find the average rate if change of the exponential function between the interval [2, 6], use the formula, m = \frac{p(b) - p(a)}{b - a}

Where,

a = 2, p(2) = 4

b = 6, p(6) = 64

Plug in the above values into the formula:

m = \frac{64 - 4}{6 - 2}

m = \frac{60}{4}

m = 15

Average rate of change is 15

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Step-by-step explanation:

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The axis of symmetry for the graph of the function f start bracket x end bracket equals one-quarter x square plus b x plus 10 is
zimovet [89]

The value of b is -3.

<h3>What is axis of symmetry?</h3>

Axis of symmetry is a line that divides an object into two halves,thereby creation a mirror like reflection of either side of the object.

Now the given function is,

f(x) = 1/4 x^2 bx + 10

and axis of symmetry is at x = 6

Now the quadratic function in standard form is given as,

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By comprison we get,

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Since axis of symmetry is a vertical line

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Therefore,

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or, b = -12/4

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Hence,The value of b is -3.

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2 years ago
What is the end behavior of the function f(x)=−1/4x^2?
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Because the function goes in the downward direction on both sides, it would be negative infinity for both.

It's basically saying, as the x values go towards the positives, the y values go towards the negatives

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Answer:

What I understand is that I need to give someone an exact number so that when 30% is taken, they keep exactly 35,000

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2 years ago
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