Question

Find the x and y intercepts of f(x) = 2x² + 7x - 9.

A. (1, 0); (-9/2, 0) and (0, -9)
B. (-1,0); (9/2,0) and (0-9)
C. (0, 1); (0, -9/2) and (-9, 0)
D. (1, 0); (-4, 0) and (0, -9)
O A
OB
O C
OD

Answer 1

B

Explanation:

The
`x` intercepts are where
`f(x)=0`.

`2x^2+7x-9=0 \\ \\ (2x+9)(x-1)=0 \\ \\ x=-(9)/(2), 1`

The
`y` intercept is where
`x=0`.

`f(0)=2(0)^2+7(0)-9=-9`