Question

Write an equation for the function f(x) shown (the leading coefficient is 1).

a) f(x) = (x + 3)(x - 2)
b) f(x) = (x - 3)(x + 2)
c) f(x) = (x - 3)(x - 2)
d) f(x) = (x + 3)(x + 2)

Answer 1

The equation for the function f(x) shown is f(x) = (x - 3)(x - 2).

Step-by-step explanation:

The equation for the function f(x) shown is option c) f(x) = (x - 3)(x - 2).

To find the equation, we look at the factors of the function, which are (x - 3) and (x - 2). These factors represent the roots or x-intercepts of the function. Since the leading coefficient is 1, the equation is multiplied by 1 and remains the same. Therefore, the equation is f(x) = (x - 3)(x - 2).