Question

Identify the y-intercept of the function, f(x) = 2x 2 + x - 4. (0,-4) (0,4) (-4,0) (4,0)

Answer 1

y intercept when x = 0 then y = -4
so answer is

y-intercept of the function (0,-4)

Answer 2

The y-intercept of the function
`f(x)=2x^(2)+x-4` is
`(0,-4)`

Explanation:

• The y-intercept of a function is the intersection between the graph of the function and the y-axis.
• This particular point will have a ''0'' in its x-coordinate (because all points over the y-axis have a ''0'' on its x-coordinate).

Therefore, we can write the y-intercept as :

`y-intercept=(0,a)`

We obtain the another coordinate ''a'' replacing ''x'' by a ''0'' in the function.

In this exercise, the function is:

`f(x)=2x^(2)+x-4`

If x = 0 ⇒

`f(0)=2(0)^(2)+0-4=-4=a`

We find that ''-4'' is the coordinate ''a'' that we were looking for.

We conclude that the point
`(0,a)=(0,-4)`

And
`(0,-4)` is the y-intercept of the function.