Chapter 9.1, Problem 66E

(a)

To determine

The table for the ordered pairs (x, y)

Answer to Problem 66E

$x$	$y=\sqrt{x}$	$\left(x,y\right)$
0	0	(0,0)
1	1	(1,1)
4	2	(4,2)
9	3	(9,3)
16	4	(16,4)
25	5	(25,5)

Explanation of Solution

Given:

The given expression is

  $y=\sqrt{x}$

Calculation:

The table can be made as

$x$	$y=\sqrt{x}$	$\left(x,y\right)$
0	0	(0,0)
1	1	(1,1)
4	2	(4,2)
9	3	(9,3)
16	4	(16,4)
25	5	(25,5)

(b)

To determine

To plot:The graph for the ordered pairs (x, y)

Answer to Problem 66E

Explanation of Solution

Given:

The given expression is

  $y=\sqrt{x}$

Calculation:

The table can be made as

$x$	$y=\sqrt{x}$	$\left(x,y\right)$
0	0	(0,0)
1	1	(1,1)
4	2	(4,2)
9	3	(9,3)
16	4	(16,4)
25	5	(25,5)

The graph can be drawn as

(c)

To determine

Whether the given function is linear or not

Answer to Problem 66E

Non-linear

Explanation of Solution

Given:

The given expression is

  $y=\sqrt{x}$

Calculation:

The expression can be written as

  $y=x^{\frac{1}{2}}$

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

The graphis also not a straight line. Hence, the given expression is not linear.