Question

Graphing the Absolute Value of a Function Sketch the graph of each function.

(a)$f\left(x\right)=x^3$

(b)$g\left(x\right)=\left|x^3\right|$

Short answer

The graph of $f\left(x\right)$

The graph of $g\left(x\right)$.

Step-by-step solution

Part a. Step 1. Concept of function.

A technical definition of function is a relation from a set of inputs of to a set of possible output where each input is related to exactly one output.

Part a. Step 2. Concept of sketch the graph of a function.

In order to accurately and quickly graph the function its imperative that you memorize the basis graphs.

Part a. Step 3. Sketch the graph of f(x).

The graph of$f\left(x\right)=x^3$ is,

Part b. Step 1. Concept of function.

A technical definition of function is a relation from a set of inputs of to a set of possible output where each input is related to exactly one output.

Part b. Step 2. Concept of sketch the graph of a function.

In order to accurately and quickly graph the function its imperative that you memorize the basis graphs.

Part b. Step 3. Sketch the graph of g(x).

The graph of $g\left(x\right)=\left|x^3\right|$is,