Question

Consider the function$y=\sqrt{x}$.

1. Make a table of ordered pairs$(x,y)$ for$x=0,1,4,9,16,\text{and}25$ .
2. Plot the ordered pairs from part (a) on a coordinate plane.
3. Is$y=\sqrt{x}$ a linear function? Explain.

Short answer

1. The table of ordered pair is shown below:

1. The plot of ordered pair is shown below,

1. The given function is Non-linear.

Step-by-step solution

Step 1. Given Information.

The given equation is$y=\sqrt{x}$.

Step 2. Calculation.

The table can be made as shown below.

Step 1. Given Information.

The given equation is$y=\sqrt{x}$.

Step 2. Calculation.

The table can be made as shown below.

The graph can be drawn as shown below,

Step 1. Given Information.

The given equation is$y=\sqrt{x}$.

Step 2. Calculation.

The expression can be written as follows.

$y=x^{\frac{1}{2}}$

This equation is not in the form$y=ax+b$.

The graph is also not a straight line.

Step 3. Conclusion.

The given expression is not linear.