Graphs of the functions f and g are given. (a) Which is larger, f(0) or g(0)? (b) Which is larger, f(3) or g(3)?

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

Well, you need help learning how to read a graph.

f(0) means the y-value when x = 0 on f. Since f(0) is higher than g(0), f(0) > g(0). f(0) = 3 and g(0) ≈ 1/2. See that?

f(x) is the y-value on the given x-value, which gives us our graphs. I bet you can get it from here!