Please I really need help on this thank 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)

Question

contestada

Respuesta :

rejkjavik rejkjavik · Answer 1 · 2018-09-05T17:17:55+02:00

(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

[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]

now, we can plug values

[tex] m=\frac{0+3}{1-0} [/tex]

[tex] m=3 [/tex]

slope of g(x):

[tex] g(x)=4x-5 [/tex]

we can compare it with slope intercept form of line

[tex] g(x)=mx+b [/tex]

we get

[tex] m=4 [/tex]

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

[tex] g(0)=4*0-5 [/tex]

[tex] y=-5 [/tex]

so, y-intercept is -5

Since, -3 is greater than -5

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