Answer:
The answer is 'The slope of g(x) is less than the slope of f(x)'
Step-by-step explanation:
Given the graphs of f(x) and g(x). we have to compare the slops of these two.
The graph of f(x) passes through the points (1,0) and (2,2)
∴ [tex]\text{The slope of f(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{2-0}{2-1}=2[/tex]
The graph of g(x) passes through the points (0,2) and (2,3)
∴ [tex]\text{The slope of g(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{2-0}=\frac{1}{2}[/tex]
As [tex]\frac{1}{2}<2[/tex]
This shows that the
The slope of g(x) is less than the slope of f(x).