Q. 8 - Precalculus Enhanced with Graphing Utilities

Question

True or False: The y-intercept of the graph of the function $y=f\left(x\right)$, whose domain is all real numbers, is $f\left(0\right)$.

Step-by-Step Solution

Answer

The statement is true.

Step 1. Definition

f is the symbol that we use to denote the function. It is symbolic of the equation (rule) that we use to get from an x in the domain to f(x) in the range.

Step 2. Final answer

The y-intercept of the graph is obtained when $x=0$. So, the value of the function will be $f\left(0\right)$.

Therefore, the given statement "The y-intercept of the graph of the function $y=f\left(x\right)$, whose domain is all real numbers, is $f\left(0\right)$ " is true.