SOLUTION: 1. f(x)= x^+3x-4 divide over x^+5x-6 find va vertical asymptote ha horizontal asymptote x-intercept y=intercept and graph it w the t chart plz help me s

Question 39325: 1. f(x)= x^+3x-4 divide over x^+5x-6
find va vertical asymptote
ha horizontal asymptote
x-intercept
y=intercept
and graph it w the t chart plz help me solve this problem thank you

Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!

so, we are to avoid x+6=0, which is when x=-6. This the vertical asymptote.

Now for the horizontal one:

so, we are to avoid y-1=0, which is when y=1. this is the horizontal asymptote.

So, plot the axes and draw the 2 dotted asymptotes. We need a couple of points to anchor the 2 halves of the plot.

So, when x=0, we have y=4/6 --> y=2/3
and when y=0, we have x=4/(-1) --> x=-4

Plot these 2 points and draw a curve in the quadrant joining these points and heading towards the asymptotes. Then draw a matching curve in the diagonally opposite quadrant of your graph.

If you want to, pick some random value of x, say x=-5 and find y. It should be a small-ish negative y-value, since the curve crosses the x-axis at x=-4.

jon.

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