Answer:
B. The Y-intercept of Function A is less than the Y-intercept of Function B
F. The rate of change of Function A is greater than the rate of change of Function B
Explanation:
Function A rate of change and y-intercept:
✔️Rate of change using two pairs of values from the given table, (1, 2) and (3, 10):
Rate of change = ∆y/∆x = (10 - 2) / (3 - 1) = 8/2 = 4
Rate of change (m) of Function A = 4
✔️ To find the y-intercept (b) of function A, substitute (x, y) = (1, 2) and m = 4 into y = mx + b (slope-intercept form):
2 = 4(1) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Y-intercept (b) of function A = -2
Function B rate of change (m) and y-intercept (b):
The function, y = 3x + 4 is given in the slope-intercept form, y = mx + b.
Therefore,
Rate of change/slope (m) = 3
Y-intercept (b) = 4
The following staments about the properties of both functions are therefore true:
B. The Y-intercept of Function A is less than the Y-intercept of Function B
F. The rate of change of Function A is greater than the rate of change of Function B