Find the x- and y-intercepts of f.f(x) = (x - 1)(x - 2)

To find the x-intercepts of the function f(x) = (x - 1)(x - 2), you set the function equal to zero and solve for x.

Step 1: Set the function equal to zero. 0 = (x - 1)(x - 2)

Step 2: Apply the zero-product property, which states that if a product of factors equals zero, then at least one of the factors must be zero. So, x - 1 = 0 or x - 2 = 0

Step 3: Solve each equation for x. x - 1 = 0 => x = 1 x - 2 = 0 => x = 2

So, the x-intercepts of the function are x = 1 and x = 2.

To find the y-intercept of the function, you set x equal to zero and solve for y (or f(x) in this case).

Step 1: Set x equal to zero in the function. f(x) = (0 - 1)(0 - 2)

Step 2: Simplify the expression. f(x) = (-1)(-2) = 2

So, the y-intercept of the function is y = 2.