Question

Two functions are given below. F(x)= 4x + 5 and g(x)= 7x + 7. How does the graph of f compare with the graph of g?'

a. the graph of f is steeper than the graph of g
b. the graph of f is parallel to the graph of g
c. the graph of f is less steep than the graph of g.
d. the graph of f has the same y-intercept as the graph of g.

Answer 1

Since the slope of f(x) is 4 (from 4x) and the slope of g(x) is 7, that means that f(x) changes 4 every time x changes, but g(x) changes 7, making g(x) more steep and f(x) less steep