# 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?

Aug 6, 2017

$\text{see explanation}$

#### Explanation:

$\text{this is a parabola of even degree, that is degree 2 and with}$
$\text{a positive leading coefficient (1)}$

• " as "xto+-oo,f(x)to+oo

$\text{to find the y-intercept}$

•color(white)(x)"evaluate f(0)"

$f \left(0\right) = 0 + 0 - 1 = - 1 \leftarrow \textcolor{red}{\text{ y-intercept}}$

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