Answer:
Option A
Step-by-step explanation:
From the graph given in the picture,
Function 1
Rate of change = Slope of the line
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the given line which is passing through (1, 2) and (-1, -2)will be,
Rate of change = [tex]\frac{2+2}{1+1}[/tex] = 2
Function 2
Equation of the line is,
y = [tex]\frac{1}{2}x+7[/tex]
By comparing this equation with slope-intercept form of the equation,
y = mx + b
Here m = rate of change Or slope of the linear function
Rate of change of function 2 = [tex]\frac{1}{2}[/tex]
Therefore, rate of change of function 1 is higher than function 2.
Option A will be the answer.
