Answer:
The slope of f(x) is 1.5
Step-by-step explanation:
step 1
Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1
so
we have the points
(2/3,0) and (0,-1)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{-1-0}{0-2/3}[/tex]
[tex]m=\frac{-1}{-2/3}[/tex]
[tex]m=\frac{3}{2}=1.5[/tex]
step 2
Find the slope of the function graphed
take the points
(0,-1) and (3,6) approximately
substitute in the formula
[tex]m=\frac{6+1}{3-0}[/tex]
[tex]m=\frac{7}{3}=2.33[/tex]
step 3
we know that
f(x) represents the function with the smaller slope
The smaller slope is 1.5
therefore
The slope of f(x) is 1.5
