Ireally need on this you. the table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −6 0 −3 1 0 g(x) g(x) = 4x − 5 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

(a)

slope of f(x):

We can select any two points to find slope

(0,-3) and (1,0)

now, we can use slope formula

now, we can plug values

slope of g(x):

we can compare it with slope intercept form of line

we get

so, we can see that slope of f(x) is 3 while slope of g(x) is 4

so, slope of g(x) is greater than slope of f(x)

(b)

y-intercept of f(x):

we know that y-intercept is value of y when x=0

we are given point (0,-3)

so, y-intercept is -3

y-intercept of g(x):

we know that y-intercept is value of y when x=0

so, we can plug x=0 and find y

so, y-intercept is -5

Since, -3 is greater than -5

Hence , y-intercept of f(x) has greater value.........Answer

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2