Questions from General Calculus

Q: Sketch the following parabolas. Include their x- and y-

Sketch the following parabolas. Include their x- and y-intercepts. y = -x2 + 20x - 90

Q: Sketch the following parabolas. Include their x- and y-

Sketch the following parabolas. Include their x- and y-intercepts. y = 2x2 + x - 1

Q: Sketch the following curves. y = 2x3 + 3x2 +

Sketch the following curves. y = 2x3 + 3x2 + 1

Q: Sketch the following curves. y = x3 – 3/

Sketch the following curves. y = x3 – 3/2 x2 - 6x

Q: If h(x) = [f (x)]2

If h(x) = [f (x)]2 + 1/g(x), determine h(1) and h’(1), given that f (1) = 1, g(1) = 4, f ‘(1) = -1, and g’(1) = 4.

Q: Sketch the following curves. y = x3 - 3x2 +

Sketch the following curves. y = x3 - 3x2 + 3x - 2

Q: Sketch the following curves. y = 100 + 36x -

Sketch the following curves. y = 100 + 36x - 6x2 - x3

Q: Sketch the following curves. y = 11/3 +

Sketch the following curves. y = 11/3 + 3x - x2 – 1/3 x3

Q: Sketch the following curves. y = x3 - 3x2 -

Sketch the following curves. y = x3 - 3x2 - 9x + 7

Q: Sketch the following curves. y = - 1/3

Sketch the following curves. y = - 1/3 x3 - 2x2 - 5x