MATHEMATICS MIDDLE SCHOOL

This graph represents the function (see picture) a= ___ b= ___
This graph represents the function (see picture) a= ___ b= - 1

Answers

Answer 1
Answer:

Answer:

a=1, b=-12

Step-by-step explanation:

This is a rational function with a hole at x=3 and a vertical asymptote at x=-4.

The denominator of this rational function must be:

(x - 3)(x + 4)

When we expand using the distributive property, we get:

{x}^(2) + 4x -3 x - 12

This simplifies to

{x}^(2) + x - 12

Therefore the graphed rational function is:

f(x) = \frac{ {x}^(2) - 4x + 3 }{ {x}^(2) + x - 12 }

Comparing this to

f(x) = \frac{ {x}^(2) - 4x + 3 }{ {x}^(2) +a x + b}

We have

a = 1

and

b = - 12

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