Question

estimate the intercepts of the graph of the function.
$y = x^2 - 3x - 4$
○ x-intercepts: about $-1$ and $-4$ , y-intercept: about $-4$
○ x-intercepts: about $-4$ and $4$ , y-intercept: about $-4$
○ x-intercepts: about $-1$ and $4$ , y-intercept: about $-4$
○ x-intercepts: about $-1$ , y-intercept: about $-4$

Explanation:

Step1: Find x-intercepts (set $y=0$)

Set $x^2 - 3x - 4 = 0$
Factor: $(x+1)(x-4)=0$
Solve for $x$: $x=-1$ or $x=4$

Step2: Find y-intercept (set $x=0$)

Substitute $x=0$: $y=0^2 - 3(0) - 4 = -4$

Answer:

x-intercepts: about $-1$ and $4$, y-intercept: about $-4$