Chapter 11.3, Problem 76HP

To determine

Find the correct choice for the curve.

Answer to Problem 76HP

Option $\text{C}:xy=4$ is the correct option.

Explanation of Solution

Given:

4 Options are :   $\begin{array}{l}\text{A:}y=\sqrt{x};\text{B:}y=x^2-5x+4;\\ \text{C}:xy=4;\text{D}:y=-x+20\end{array}$

Calculation:

Graph of $\text{A:}y=\sqrt{x}$	Graph of: $\text{B:}y=x^2-5x+4$
Graph of: $\text{C}:xy=4$	Graph of: $\text{D}:y=-x+20$

For x = 0, the value of y become 0 in the equation $y=\sqrt{x}$ . Therefore, this is not a correct answer.

The graph of the equations $y=x^2-5x+4\text{and}y=-x+20$ represents are a parabola and a linear equation. So they are not the correct answer.

Therefore, Option $\text{C}:xy=4$ is the correct answer.

Thus, Option $\text{C}:xy=4$ is the correct option.