Question

The graph represents f(x), and g(x) = 7x – 42.

Which statement about these functions is true?

A) The y-intercept of g(x) is less than the y-intercept of f(x).
B) The y-intercept of g(x) is greater than the y-intercept of f(x).
C) The x-intercept of g(x) is less than the x-intercept of f(x).
D) The x-intercept of g(x) is greater than the x-intercept of f(x).

Answer 1

`g(x)=7x-42\\\\\y-intercept\ of\ g(x):\\\\f(0)=7\cdot0-42=-42\to(0;\ -42)\\\\x-intercept\ of\ g(x):\\\\0=7x-42\ \ \ \ |+42\\7x=42\ \ \ |:7\\x=6\to(6;\ 0)`


`f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)`

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).