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telo118 [61]
4 years ago
9

Which graph represents the function of f(x) = 4x^2-16/2x-4

Mathematics
1 answer:
Vera_Pavlovna [14]4 years ago
5 0

Answer:

The graph in the attachment.

Step-by-step explanation:

f(x)=\dfrac{4x^2-16}{2x-4}=\dfrac{2^2x^2-4^2}{2x-4}=\dfrac{(2x)^2-4^2}{2x-4}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\f(x)=\dfrac{(2x-4)(2x+4)}{2x-4}\\\\DOMAIN:\\\\2x-4\neq0\qquad\text{add 4 to both sides}\\\\2x\neq4\qquad\text{divide both sides by 2}\\\\x\neq2\\----------------------\\\text{We can simplify the expression. Cancel (2x-4)}\\\\y=2x+4\leftarrow\text{it's a linear function.}

\text{Draw the line with o}\text{pen circle for x = 2.}\\\\\text{We need only two points to plot the graph of the linear function.}\\\\\text{Choice any two value of x except 2. Put into the equation of y}\\\text{and calculate the values of y:}\\\\for\ x=0\to y=2(0)+4=0+4=4\to(0,\ 4)\\for\ x=1\to y=2(1)+4=2+4=6\to(1,\ 6)

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Answer:

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Step-by-step explanation:

|2x + 5| = 13

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3 years ago
four cards numbered 1, 5, 8, and 9 are placed in a bag. A card is drawn at random and then replaced. Then a card is drawn at ran
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Answer:

1/16

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Answer:

15.072

Step-by-step explanation:

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