MATH SOLVE

8 months ago

Q:
# PLEASE HELP! 13 POINTS!!! WILL MARK BRAINLIEST!!!!The equation shown below represents function f.f ( x ) = - 2 x + 5The graph shown below represents function g.Which of the following statements is true?* Over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. The y-intercept of function f is greater than the y-intercept of function g.* Over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. The y-intercept of function f is less than the y-intercept of function g.* Over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. The y-intercept of function f is the same as the y-intercept of function g.* Over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. The y-intercept of function f is greater than the y-intercept of function g.

Accepted Solution

A:

For all linear functions

f(x)=mx+b

m = slope

b = y-intercept (i.e.value of f(0), or value of y when x=0)

We're given

f(x)=-2x+5 => slope = -2, y-intercept=5

Examine the graph of g(x),

we have two intercepts (0,4) and (2,0)

this means slope=(0-4)/(2-0)=-2

y-intercept = 4 (y-value of (0,4)

therefore the equation of g(x)

g(x)=-2x+4 => slope = -2, y-intercept = 4

Means

A. slope of f(x)=slope of g(x) =-2

B. y-intercept of f(x)=5 > y-intercept of g(x)=4

f(x)=mx+b

m = slope

b = y-intercept (i.e.value of f(0), or value of y when x=0)

We're given

f(x)=-2x+5 => slope = -2, y-intercept=5

Examine the graph of g(x),

we have two intercepts (0,4) and (2,0)

this means slope=(0-4)/(2-0)=-2

y-intercept = 4 (y-value of (0,4)

therefore the equation of g(x)

g(x)=-2x+4 => slope = -2, y-intercept = 4

Means

A. slope of f(x)=slope of g(x) =-2

B. y-intercept of f(x)=5 > y-intercept of g(x)=4