Question

what is the y-intercept of the function $f(x)=4 - 5x$?

• $-5$
• $-4$
• $4$
• $5$

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \(y = f(x)\) is the value of \(y\) when \(x = 0\).

Step2: Substitute \(x = 0\) into \(f(x)\)

Given \(f(x)=4 - 5x\), substitute \(x = 0\) into the function: \(f(0)=4-5\times0\).

Step3: Simplify the expression

Since \(5\times0 = 0\), then \(f(0)=4 - 0=4\).

Answer:

4 (corresponding to the option "4")