Answer the questions about the following function. f left parenthesis x right pa

ID: 2910143 • Letter: A

Question

Answer the questions about the following function.

f left parenthesis x right parenthesis equals StartFraction x plus 12 Over x minus 8 EndFractionf(x)=x+12 x8

(a) Is the point

left parenthesis 2 comma negative 19 right parenthesis(2,19)

on the graph of f?

(b) If x =

3 comma3,

what is f(x)? What point is on the graph of f?

(d) What is the domain of f?

(e) List the x-intercepts, if any, of the graph of f.

(f) List the y-intercept, if there is one, of the graph of f.

f(x)=(x+12)/(x-8)

a.(2,-19)

When x=2,f(x)=(2+12)/(2-8)=14/(-6)=-(7/3) which is not equal to -19.

So the point (2,-19) doea not lies.

b.If x=3

f(x)=(3+12)/(3-8)=15/(-5)=-3

So the point is (3,-3)

c.f(x)=2

2=(x+12)/(x-8)

x+12= 2x-16

x=28

d. Denominator should not be zero and at x=8, Denominator is 0.

So the domain is

(-infinity,8)U(8,infinity)

e. x intercept

f(x)=0

x+12=0

x=-12

x intercept (-12,0)

f. y intercept,x=0

f(x)=(0+12)/(0-8)=12/-8=-(3/2)

y intercept 0,-(3/2))

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