Question

If$f\left(x\right)=\sqrt{2x-x^2}$ graph the following function in the

Viewing rectangle $[-5,5]\mathrm{by}[-4,4]$

(a)$y=f\left(x\right)$

(b)$y=f(-x)$

(c)$y=-f(-x)$

(d) $y=f(-2x)$

(e)$y=f(-\frac{1}{2}x)$

Short answer

Graph of the functions a, b, c, d and e are shown in explanation below.

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. Plotting the graph.

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. Plotting the graphs.

Part c. 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 c. 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 c. Step 3. Plotting the graphs.

Part d. 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 d. 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 d. Step 3. Plotting the graphs.

(d)$y=f\left(-2x\right)$

Part e. 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 e. 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 e. Step 3. Plotting the graphs.

Graph of the function $y=f\left(-\frac{1}{2}x\right)$is