3 years ago

Find the domain and range of the function. Check all that apply.

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

The answer is below

Hope this help you

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What is the ninth term of the arithmetic sequence defined by the rule A(n)= -14+(n-1)(2)

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If you start counting from 0, you ninth term will be 8. Replace n=8 and calculate:
A(8) = -14 + (8-1)(2) = -14 + (7)(2) = -14 + 14 = 0

If you start counting from 1, your ninth term will be 9. Replace n=9 and calculate:
A(9) = -14 + (9-1)(2) = -14 + (8)(2) = -14 + 16 = 2

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State the domain of 1b, then determine the equation of any vertical asymptotes and/or coordinates of any holes in the graph of t

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We have

$f(x)=\frac{2x^2+x}{x^2-5x+6}$

First we will factorize the function

$f(x)=\frac{x(2x+1)}{\mleft(x-2\mright)(x-3)}$

The domain is

$\: \mleft(-\infty\: ,\: 2\mright)\cup\mleft(2,\: 3\mright)\cup\mleft(3,\: \infty\: \mright)$

In this case, we have two vertical asymptotes

x-2=0

x=2

x-3=0

x=3

ANSWER

The domain is

$\: \mleft(-\infty\: ,\: 2\mright)\cup\mleft(2,\: 3\mright)\cup\mleft(3,\: \infty\: \mright)$

The vertical asymtotes

x-2=0

x=2

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Step-by-step explanation:

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