Question

The graph shows the function g(x) .

Select from the drop-down menu to correctly compare ​ g(x) ​ and f(x)=−3(x+1) .


The y-intercept of ​ f(x) ​ is _______ the y-intercept of ​ g(x) ​

a less than
b greater than
c equal to

Answer 1

the y int of g(x).....where the line crosses the y axis is 3

f(x) = -3(x + 1)
f(x) = -3x - 3....and the y int of f(x) is -3

therefore, the y int of f(x) is less then the y int of g(x)

Answer 2

we know that

The y-intercept is the value of the function when the value of x is equal to zero

In this problem

we have

The y-intercept of the function g(x) is equal to
`3` -----> see the graph

Find the y-intercept of the function f(x)

`f(x)=-3(x+1)`

For
`x=0`

`f(0)=-3(0+1)=-3`

The y-intercept of the function f(x) is equal to
`-3`

so

`-3 < 3`

The y-intercept of ​ f(x)​ is less than the y-intercept of ​g(x)

therefore

the answer is the option A

less than