Questions from General Calculus

Q: Use parametric equations to graph the function f (x) =

Use parametric equations to graph the function f (x) = 2x + ln x and its inverse function on the same screen.

Q: Sketch a rough graph of the yield of a crop as a

Sketch a rough graph of the yield of a crop as a function of the amount of fertilizer used.

Q: Find the domain and range of the function. Write your answer

Find the domain and range of the function. Write your answer in interval notation. f (x) = 2/ (3x – 1)

Q: Find the domain and range of the function. Write your answer

Find the domain and range of the function. Write your answer in interval notation. g (x) = √16 – x2

Q: If f (x) = x5 + x3 + x,

If f (x) = x5 + x3 + x, find f-1 (3) and f (f-1(2)).

Q: Find the domain and range of the function. Write your answer

Find the domain and range of the function. Write your answer in interval notation. h (x) = ln (x + 6)

Q: Find the domain and range of the function. Write your answer

Find the domain and range of the function. Write your answer in interval notation. F (t) = 3 + cos 2t

Q: One of the legs of a right triangle has length 4 cm

One of the legs of a right triangle has length 4 cm. Express the length of the altitude perpendicular to the hypotenuse as a function of the length of the hypotenuse.

Q: Evaluate (log23) (log34) (log45) …(log3132

Evaluate (log23) (log34) (log45) …(log3132).

Q: (a). Show that the function f (x) =

(a). Show that the function f (x) = ln (x + √x2 + 1) is an odd function. (b). Find the inverse function of f.