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andrey2020 [161]
3 years ago
12

Describe the end behavior of the following function: f(x)=7x^2-3x^2-6

Mathematics
1 answer:
Savatey [412]3 years ago
4 0

We are given function : f(x)=7x^3-3x^2-6.

We need to describe the end behavior of the given function.

In order to describe end behavior of a function we need to find the degee and leading coefficient of the given function.

Degree of the given function is the maximum power of the exponent.

We have x^3, there.

Therefore, degree of the given function is : 3 an odd degree and

Leading coefficient is : 7 a positive number.

<em>According to end behavior rule, when degree is an odd degree and leading coefficient is a positive number the f(x) would be of same sign as x.</em>

Therefore end behavior would be

<h2>x --> + ∞ , f(x) --> + ∞</h2><h2>x --> - ∞ , f(x) --> - ∞</h2>
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A candy store owner wants to mix some candy costing $1.25 a pound
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The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.

Given:

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Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with '50-x' pounds of candy costing $1.45 a pound.

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Accordingly, the total cost of the resulting mixture is 1.25x+1.45(50-x)

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1.25x+1.45(50-x)=1.30 \times 50

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A function is given f(x)=4x-3.

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A function f(x)=4 x-3 is given.

Determine the function $f\left(x_{1}\right)$ by putting the value of x=1 in the given function.

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According to the formula of average rate change of the equation $\frac{\Delta y}{\Delta x}=\frac{f\left(x_{2}\right)-f\left(x_{2}\right)}{x_{2}-x_{1}}$

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$$\begin{aligned}&\frac{\Delta y}{\Delta x}=\frac{5-1}{1} \\&\frac{\Delta y}{\Delta x}=4\end{aligned}$$

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