Examine the two functions below. use the equation and table given to answer the question below. which of the following statements is true? a. both functions have the same y-intercept. b. f(x) has a negative slope while g(x) has a positive slope. c. both functions are linear functions. d. g(x) has a common ratio of 4.

A.
Both functions have the same y-intercept.             TRUE

B.
f(x) has a negative slope while g(x) has a positive slope.   Tricky question.  Yes, f(x) has the negative slope m = -2.  However, g(x), being a curve, does not have a single slope; rather, it has a varying slope that increases (becomes less negative) as x increases.  Some people might argue that this statement is TRUE, while others would argue that it's FALSE, because the 2nd function does not have just one single value for the slope.

C.
Both functions are linear functions.  ABSOLUTELY NOT.  The first one is linear; the second is a "decaying exponential" whose graph is a curve.

D.  
g(x) has a common ratio of 4.  Yes and no.  I'd say the common ratio is (1/4), because each y value is (1/4) of the previous y value