Question

the graph of a function y = f(x) can have more than one of which type of intercept? choose the correct answer below. y - intercept x - intercept both an x - intercept and a y - intercept neither an x - intercept nor a y - intercept

Explanation:

A function \(y = f(x)\) is defined such that for each \(x\) - value in the domain, there is exactly one \(y\) - value. The \(y\) - intercept is the value of \(y\) when \(x = 0\), so a function can have at most one \(y\) - intercept. However, the \(x\) - intercepts are the values of \(x\) for which \(y=0\). A function can cross or touch the \(x\) - axis at multiple points, meaning it can have multiple \(x\) - intercepts.

Answer:

B. x - intercept