Which linear function represents the line given by the point-slope equation y – 8 = (x – 4)? f(x) = 1/2x + 4 f(x) = 1/2x + 6 f(x) = 1/2x – 10 f(x) = 1/2x – 12

Step-by-step explanation:

You must have made a mistake

the point-slope equation y – 8 = 1/2  (x – 4)?

If so，res is f(x)=1/2 x+6

Step-by-step explanation:

Point slope equation is given by

To get equation of the line we need to get y alone

First we remove the parenthesis, multiply 1/2 inside the parenthesis

To get y alone, eliminate -8 by adding 8 on both sides

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.