Question

The complete graph of the function $f$ is shown in the $xy$-plane above. For what value of $x$ is the value of $f\left(x\right)$ at its minimum?

• A. $-5$
• B. $-3$
• C. $-2$
• D. $3$

Answer 1

The correct option is B $-3$

Since we need the value of $x$ for which $f\left(x\right)$ attains its minimum value, we look at the $y$-coordinate in the graph shown.

The minimum $y$ coordinate seen in the graph is $-2$, which is attained at the value of $x$, which is $3$ units to the left of $x$-axis.

Thus, the minimum value of $f\left(x\right)$, which is $-2$ is attained at $x=-3.$.