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2 years ago

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PLS HELP WILL MARK BRAINLIEST Which graph represents the function f(x)=2⋅4x ? (ANSWERS ARE IN PICTURES)

1 answer:

PIT_PIT [208]2 years ago

3 0

It's going to be the top right picture

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Please help… translate 7 units right and 2 units up

Inessa [10]

X+7 for x and y+2 for y

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D%20%2B4x-4%7D%7Bx%5E%7B2%7D%20-2x-8%7D" id="TexFormula1"

givi [52]

i) The given function is

$f(x)=\frac{x^2+4x-4}{x^2-2x-8}$

We can rewrite in factored form to obtain;

$f(x)=\frac{x^2+4x-4}{x^2-2x-8}$

$f(x)=\frac{(x+2\sqrt{2}+2)(x-2\sqrt{2}+2)}{(x-4)(x+2)}$

The domain is

$(x-4)(x+2)\ne0$

$(x-4)\ne0,(x+2)\ne0$

$x\ne4,x\ne-2$

ii) To find the vertical asymptotes equate the denominator to zero.

$(x-4)(x+2)=0$

$(x-4)=0,(x+2)=0$

$x=4,x=-2$

iii) To find the roots, equate the numerator to zero.

$(x+2\sqrt{2}+2)(x-2\sqrt{2}+2)=0}$

$(x+2\sqrt{2}+2)=0,(x-2\sqrt{2}+2)=0}$

$(x=-2\sqrt{2}-2,x=2\sqrt{2}-2)}$

iv) To find the y-intercept, substitute $x=0$ into the equation.

$f(0)=\frac{0^2+4(0)-4}{0^2-2(0)-8}$

We simplify to obtain;

$f(0)=\frac{-4}{-8}$

$f(0)=\frac{1}{2}$

v) The horizontal asymptote is

$lim_{\to \infty}\frac{x^2+4x-4}{x^2-2x-8}=1$

The equation of the horizontal asymptote is y=1

vi) The function does not have a variable factor that is common to both the numerator and the denominator.

The function has no holes in it.

vii) The given function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

7 0

2 years ago

PLS HELP WILL MARK BRAINLIEST!

Allisa [31]

Answer:

-41

Step-by-step explanation:

if you plug -2 everywhere you see an x and 1 everywhere you see a y, and then simplify you get -41

4 0

2 years ago

Read 2 more answers

30 times 4 times the ten power of three

rosijanka [135]

Answer $=7085760$

Step-by-step explanation:

Use order of operations and evaluate the exponent first

$30*4*3^{10}$

$30*4(59049)$

$30*236192$

$=7085760$

3 0

1 year ago

Read 2 more answers

Write a fact with the same sum as 7+ 5.

lisov135 [29]

0+12, 11+1, 4x3, 6x2, etc.

6 0

2 years ago

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