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WARRIOR [948]
3 years ago
7

Here’s a graph of a linear function write the equation that describes the function express it in slope intercept form.

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

Looks like (0,1) and (2,4) are on the line.

(0,1) is the y intercept, b=1

The slope is m=(4 - 1)/(2 - 0) = 3/2

Answer: y = (3/2) x + 1

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Step-by-step explanation:

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vampirchik [111]

Answer:

The correct option is D.

i.e.

f\left(x\right)=\frac{1}{x\left(x+4\right)} is the correct option.

The correct graph is shown in attached figure.

Step-by-step explanation:

Considering the function

f\left(x\right)=\frac{1}{x\left(x+4\right)}

\mathrm{Domain\:of\:}\:\frac{1}{x\left(x+4\right)}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

\mathrm{Range\:of\:}\frac{1}{x\left(x+4\right)}:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:-\frac{1}{4}\quad \mathrm{or}\quad \:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-\frac{1}{4}]\cup \left(0,\:\infty \:\right)\end{bmatrix}

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So, the correct graph is shown in attached figure.

Therefore, the correct option is D.

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f\left(x\right)=\frac{1}{x\left(x+4\right)} is the correct option.

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Suppose, the co ordinate of any point is (a,b) .

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