Question

Use the given function below to awnser the following questions
`f(x)√( x + 1)`

Answer 1

Answer:

a) The x-values that can be used to generate 4 perfect squares under the radical are 0, 3, 8, and 15

b) The table is shown below

c) The graph showing the given points is plotted below

Step-by-step explanation:

The given function is:

`f(x)\text{ = }\sqrt[]{x+1}`

The expression under the radical is x + 1

If x = 0:

x + 1 = 0 + 1 = 1

Since 1 is a perfect square, then x = 0 can be used to generate a perfect square under the radical

If x = 3:

x + 1 = 3 + 1 = 4

Since 4 is a perfect square, then x = 3 can be used to generate a perfect square under the radical

If x = 8:

x + 1 = 8 + 1 = 9

Since 9 is a perfect square, then x = 8 can be used to generate a perfect square under the radical

If x = 15:

x + 1 = 15 + 1 = 16

Since 16 is a perfect square, then x = 15 can be used to generate a perfect square under the radical

Therefore, the x-values that can be used to generate 4 perfect squares under the radical are 0, 3, 8, and 15

b) The corresponding y-values for each x-value are shown in the table

c) The graph of the radical function is shown below