Question

The linear function f(x) has a slope of -2 and intersects the y-axis at the point (0, 14).

If g(x) = -2x - 4, which statement is true?

The functions f(x) and g(x) do not intersect the x-axis.

The function f(x) intersects the x-axis closer to zero than the function g(x).

The functions f(x) and g(x) intersect the x-axis at the same point.

The function g(x) intersects the x-axis closer to zero than the function f(x).

Answer 1

f(x) is linear implies it is a line
as slope is given
so f(x)=y=mx+c
m and point are given put this in equation

Answer 2

f(x)=y=-2x+c
for finding c put (0,14) in it now
f(x)=14=-2*0+c
implies c=14
f(x)=y=-2x+14
g(x)=-2x-4

Answer 3

at x axis y=0
so to find out at which point it will cut x axis ....put y=0
f(x)=0=-2x+14
-2x=-14
x=7
it will cut x at x=7
g(x)=0=-2x-4
-2x=4
x=-2

Answer 4

So would it be A

Answer 5

so gx(x) cut x axis closer to zero than f

Answer 6

they are intersecting the x axis

Answer 7

see the steps

Answer 8

D

Answer 9

yes i understand now thanks