Answer:
Option B: 4
Step-by-step explanation:
From the image, the correct function is;
f(x) = x³ -5x² - 8x + 48
Now, the x-intercept occurs when y = 0.
Thus;
x³ - 5x² - 8x + 48 = 0
So we are looking for values of x that will make y = 0.
Let's try the options;
Let's try x = -4;
(-4)³ - 5(-4)² - 8(-4) + 48 = -64 - 80 + 32 + 48 = -64 ≠ 0
So, x = -4 is not an x - intercept
Let's try x = 4;
(4)³ - 5(4)² - 8(4) + 48 = 64 - 80 - 32 + 48 = 0
So,x = 4 is an x-intercept
Let's try x = - 2;
(-2)³ - 5(-2)² - 8(-2) + 48 = -8 - 20 + 16 + 48 = 36 ≠ 0.
So, x = -2 is not an x-intercept.
Let's try x = 2;
(2)³ - 5(2)² - 8(2) + 48 = 8 - 20 - 16 + 48 = 20 ≠ 0
So, x = 2 is not an x-intercept
