# 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#?

##### 1 Answer

Aug 6, 2017

#### 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]}