Questions from General Calculus

Q: Find a formula for a function f that satisfies the following conditions

Find a formula for a function f that satisfies the following conditions:

Q: Find a formula for a function that has vertical asymptotes x =

Find a formula for a function that has vertical asymptotes x = 1 and x = 3 and horizontal asymptote y = 1.

Q: The point Ps2, 21d lies on the curve y = 1

The point Ps2, 21d lies on the curve y = 1/(1 – x). a. If Q is the point (x, 1/(1 - x)), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following...

Q: a. Estimate the value of / by

a. Estimate the value of by graphing the function f(x) = (sin πx)/(sin πx). State your answer correct to two decimal places. b. Check your answer in part (a) by evaluating f(x...

Q: A function f is a ratio of quadratic functions and has a

A function f is a ratio of quadratic functions and has a vertical asymptote x = 4 and just one x-intercept, x = 1. It is known that f has a removable discontinuity at x = -1 and limx â†...

Q: Find the limits as x → ∞ and as x → -∞.

Find the limits as x → ∞ and as x → -∞. Use this information, together with intercepts, to give a rough sketch of the graph as in Example 12. y = 2x3 - x4

Q: Find the limits as x → ∞ and as x → -∞.

Find the limits as x → ∞ and as x → -∞. Use this information, together with intercepts, to give a rough sketch of the graph as in Example 12. y = x4 - x6

Q: Find the limits as x → ∞ and as x → -∞.

Find the limits as x → ∞ and as x → -∞. Use this information, together with intercepts, to give a rough sketch of the graph as in Example 12. y = x3(x + 2)2(x - 1)

Q: Find the limits as x → ∞ and as x → -∞.

Find the limits as x → ∞ and as x → -∞. Use this information, together with intercepts, to give a rough sketch of the graph as in Example 12. y = (3 - x)(1 + x)2(1 - x)4

Q: Find the limits as x → ∞ and as x → -∞.

Find the limits as x → ∞ and as x → -∞. Use this information, together with intercepts, to give a rough sketch of the graph as in Example 12. y = x+(x2 – 1)-(x + 2)