Question

The function f(x) is shown in this graph

Answer 1

The correct statement is:

• The slope of f(x) is same as the slope of g(x)

Explanation:

• We see that the graph of the function f(x) is a line that passes through (0,2) and (1,-1)

Hence, the equation of the function f(x) is calculated by a two-point formula as:

`y-2=(-1-2)/(1-0)* (x-0)\\\\y-2=(-3)/(1)* x\\\\y-2=-3x\\\\y=-3x+2`

( On comparing the equation of f(x) with slope intercept form.

i.e. y=mx+c

where m is the slope and c is the y-intercept)

We get slope of f(x)= -3

and y-intercept= 2

• The function g(x) is given by:

`g(x)=-3x-6`

Hence, slope of g(x) = -3

and y-intercept= -6

Hence, we get that the slope of f(x) and g(x) is same.

( i.e. -3)