Answer:
Function C has greatest initial value
Function B has the greatest rate of change
Step-by-step explanation:
All three Functions can be rewritten in slope-intercept form
y = mx + c
where m = rate of change i.e. the slope of the line
c=y-intercept which is the value of y for x = 0. This corresponds to the initial value
Function A
The rate of change can be found by finding the difference in y-values for any two points divided by the x difference in the same two points
Let's take points (2, 5) and (4,10)
y-difference = 10 - 5 = 5
x-difference = 4 - 2 = 2
Slope = 5/2 = 2 1/2
At x = 0, y =0 so the initial value which is 0
Function B
Slope = 3
Initial value : Put x = 0 ==> y = 3(0) - 1 = -1
Function C
Take points (0, 2) and (3,3)
Slope = rate of change = (3-2)/(2-0) = 1/2
The initial value = 2
Greatest initial value is 2 for Function C
Greatest rate of change: Function B
