Question

How do you find the end behavior and state the possible number of x intercepts and the value of the y intercept given `f(x)=x^2+3x-1`?

Answer 1

`"see explanation"`

Explanation:

`"this is a parabola of even degree, that is degree 2 and with"`
`"a positive leading coefficient (1)"`

`• " as "xto+-oo,f(x)to+oo`

`"to find the y-intercept"`

`•color(white)(x)"evaluate f(0)"`

`f(0)=0+0-1=-1larrcolor(red)" y-intercept"`

`"since this is a quadratic it will have 2 x-intercepts which"`
`"can be found using the "color(blue)"quadratic formula"`
graph{x^2+3x-1 [-10, 10, -5, 5]}