- Which functions have a rate of change that is greater than the one shown in the graph? Select all thatapply.

Rate of change: slope
Slope formula (m)
[tex]m=\frac{y2-y1}{x2-x1}[/tex]We have the points:
point 1 = (x1,y1)= (0,-4)
Point 2 = (x2,y2) = (6,0)
Replacing:
[tex]m=\text{ }\frac{0-(-4)}{6-0}=\frac{4}{6}=\text{ 0.6666}[/tex]The options are in slope-intercept form:
y=mx+b
where m is the slope
So, the slope for each option:
A. 3/4 = 0.75
B.1
C. 1/4 = 0.25
D. 1
E. 1/2 = 0.5
A,B and D are greater than 4/6.
Answer:
A,B and D.