Answer: y-intercept = (0, -3)
x-intercepts: (-3,0), (1/2, 0) and (-1/2, 0)
Explanation:
An y-intercept occurs when x=0 and you get (0,y)
Plug x=0 into function:
f(x)=(x+3)(4x²−1)
f(0) = (0+3) (4(0)²-1)
f(0) = (3)(-1)
f(0)= -3
y-intercept = (0, -3)
An x-intercept occurs when y=0 and you get (x, 0)
f(x)=(x+3)(4x²−1)
0 =(x+3)(4x²−1) >set each parentheses =0 to solve for x
(x+3)=0 and (4x²−1)=0
x = -3 and 4x² = 1
x² = 1/4
x = ±(1/2)
There are 3 x-intercepts: (-3,0), (1/2, 0) and (-1/2, 0)