Sketch the graph of y= 3 / (1-x)^2.?

Question

Be sure to include x & y intercepts, intervals where increasing or decreasing, intervals where concave up or cocave down, inflection points, extrema , and all asymptotes..

This is Calulus I plz reply me before this sunday thnx.

Answer 1

y = 3/(1 - x)²

1, (1 - x)² ≥ 0 for all x and therefore 3/(1 - x)² ≥ 0 for all x

2. 3/(1 - x)² is undefined when x = 0. Therefore 3/(1 - x)² (ie y) → +∞ when x → 1 from the left of 1 and when x → 1 from the right of 1

3. As x → ±∞, 3/(1 - x)² (ie y) → 0

4. Plot a few other points and Bob's your uncle!!

Answer 2

x y
1 +infinity
-1 .75
-2 .33
-3 .1875
2 3
3 .75
The graph will start parallel to x-axis and will be infinity for x=1.The function will keep decreasing for positive values of x.

Answer 3

If there were any indication that you were trying to learn something, I might be inclined to help.