Answer:
See below.
Step-by-step explanation:
We need to figure out the function of g(x) first.
y=mx+b
7=2x+b
5=4x+b
Subtract the first from the second.
2x=-2
x=-1
Plug back into the equation.
7=-2+b
b=9
y=-x+9
A. The y-intercept of the function f(x) is less than the y-intercept of g(x).
The y-intercept of f(x) is 8 and of g(x) is 9. This is true.
B. Function f(x) is non-linear. This is true.
C. Function f(x) has more x-intercepts than g(x). f(x) does not have any x-intercepts. g(x) has 1. This is false.
D. The y-intercept of the function f(x) is greater than the y-intercept of g(x). Since A is true, this must be false.
E. The y-intercepts of f(x) and g(x) are equal. This is false, since A is true.
