Given the relation y = x2 + 3x + 2, find the outputs for x = -2, -1, 0, 1, and 2. pls help me

1 answer:

4 0

What you need to do is plug each x value into the equation to find out the corresponding y value.
for example, when x=-2, y=(-2)²+3(-2)+2=4-6+2=0

the outputs are 0, 0, 2, 6, 12

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The hypotenuse of a right triangle is 7 inches, and one of the legs is the square root of thirteen inches. Find the length of th

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By using the well-known Pythagorian theorem we can write this equation:
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V(x)=x^2-25

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Answer:

-∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

Step-by-step explanation:

The domain of any polynomial is "all real numbers." The domain of any rational function excludes any values of the variable that result in the denominator being 0. The function is "undefined" there.

$v(x)=\dfrac{x^2-25}{2x^2+13x+15}=\dfrac{(x+5)(x-5)}{(x+5)(2x+3)}\qquad x\notin \{-5,-\dfrac{3}{2}\}$

The values x=-5 and x=-3/2 make the denominator of v(x) become 0, so those values are excluded from the domain of v(x). The function is "undefined" when its denominator is zero.

-∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

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<em>Additional comment</em>

The numerator and denominator factors (x+5) cancel each other, so there is no vertical asymptote at x=-5. Rather, the function has a "hole" there, where it is undefined. The limit as the function approaches x=-5 from either direction is v(x) = 10/7.