Question

Compare and contrast these four functions using complete sentences. Focus on the slope and y-intercept first, and then on any additional properties of each function.

Answer 1

click the link to see a picture of the functions

Answer 2

Live preview of your reply:
lets take the first function f(x)--
he gets 5$ from his dad that is a constant--+5
next he gets 2$ every time walking the dog--+2
how many times does he walk the dog--X
so
f(x) = 2x+5

Answer 3

now look at j(x) and compare with f(x)

Answer 4

now H(x) from the graph we see that when x is 0 y or h(x) is 5
so our y intercept is 5
so y = ?x +5
now when y is 0 , x is about 2 1/2 or 5/2
solving
0 = 2x + 5
0-5 = 2x + 5 -5 subtracting 5 both sides
-5/2 = 2x/2 dividing 2 both sides
we get x= -5/2 but we need positive 5/2 so the 2 has to be negative
h(x) = -2x+5

compare this with the other 2 functions

Answer 5

i will let you do g(x), just take the function and plug in the x value and see
which function will satisfy the equation --equalling g(x)

also you can put your compare and contrast into words.

Answer 6

@zpupster so g(x)=-1x-2??

Answer 7

you have to find an equation that so when you place the x it satisfy to g(x) or y

so
y=mx+b
the x is -2 and y or g(x) is -1
-1 = -2(-2) -5

so now y or g(x) = -9

-9 = -2(2) -5
and lastly when y = -17 when x is 6

-17 = -2(6) -5

now you see the equation for g(x)

Answer 8

ooooh okay ! @zpupster

Answer 9

thank you !