Find the intercepts, asymptotes, additional points needed and graph the following rational function:
1). [tex]f(x)=\frac{3}{x-4}[/tex]
Factor:
x-intercept:
y-intercept:
Vertical Asymptote:
Horizontal Asymptote:
2).[tex]f(x)=-\frac{2}{(x-3)^{2} }[/tex]
Factor:
x-intercept:
y-intercept:
Vertical Asymptote:
Horizontal Asymptote:
3). [tex]f(x)=\frac{x-6}{2x^{2}-2x-12 }[/tex]
Factor:
x-intercept:
y-intercept:
Vertical Asymptote:
Horizontal Asymptote:
Answers & Comments
Answer:
1
Factor: f(x)=3/x-4
x-intercept: none
y-intercept: 0, -3/4
Vertical Asymptote: 4
Horizontal Asymptote: 0
2
Factor: f(x)= -2/(x-3)^2
x-intercept: none
y-intercept: 0, -2/9
Vertical Asymptote: 3
Horizontal Asymptote: 0
3
Factor: f(x)= x-6/2(x-3)(x+2)
x-intercept: 6, 0
y-intercept: 0, 1/2
Vertical Asymptote: -2, 3
Horizontal Asymptote: 0
Step-by-step explanation:
pics for the factors..123
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