Graphs of the functions f and g are given.

Question

Graphs of the functions f and g are given.

(a) Which is larger, f(0) or g(0)?

A. f(0) is larger.

B. g(0) is larger.

C. Neither is larger.

(b) Which is larger, f(3) or g(3)?

A. f(3) is larger.

B. g(3) is larger.

C. Neither is larger.

(c) For which values of x is f(x) = g(x)?

 (Enter your answers as a comma-separated list.)

x = 

 

(d) For which values of x is f(x) ≤ g(x)?

A. [−4, 2]

B. [−4, −2] and [2, 3]

C. [−2, 0] and [2, 4]

D. [−2, 4]

E. [−2, 2]

(e) For which values of x is f(x) > g(x)?

A. [−4, 2) and (2, 4]

B. [−4, 2) and (2, 3]

C. (−2, 2)

D. [−4, 4]

E. [−4, 3]

Answer 1

(a) f(0) = 3, g(0) = 0.5 so f(0) is larger.

(b) f(3) is about 1, g(3) = 4 so g(3) is larger.

(c) The two graphs intersect at x=-2 and x=2

(d) f is less than or equal to g when x is between -4 and -2 inclusive, and between 2 and 3 inclusive

(e) f is greater than g when x is between -2 and 2 exclusive