The x-intercepts of a particular equation are x = p, q. Suggest a possible equation.
Quite confused on this question... Any idea? Thanks in advance.
if p and q are the x-intercepts, then they are the roots of f(x)=0
That means that (x-p) and (x-q) divide f(x).
So,
f(x) = a(x-p)(x-q)
where a can be any scale factor.
To find a possible equation that has x-intercepts at x = p and x = q, we can use the fact that the x-intercepts occur when the equation equals zero.
One way to write such an equation is using the factored form. If the x-intercepts are x = p and x = q, then the equation could be of the form:
f(x) = a(x - p)(x - q)
where a is a constant that determines the shape of the graph. The factors (x - p) and (x - q) account for the roots of the equation, where x = p and x = q, respectively.
Now, you may need additional information about the graph, such as the leading coefficient, the degree of the equation, or any other conditions, to fully determine a specific equation. But the form f(x) = a(x - p)(x - q) should work as a general equation that has x-intercepts at x = p and x = q.