Question

Move the slider on the graph on the right to graph each function:

Answer 1

Answer:

The domain is $x\geq 7$

The range is $y\geq 1$

Step-by-step explanation:

we have

$y=\sqrt{x-7} +1$

Find the domain

Remember that

The domain of a function is the set of all possible values of x

we know that the radicand of the function must be greater than or equal to zero

so

$x-7\geq 0$

solve for x

$x\geq 7$

therefore

The domain is $x\geq 7$

Find the range

Remember that

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

For x=7

The value of y is equal to

$y=\sqrt{7-7} +1=1$

so

The solution for y is the interval [1,∞)

therefore

The range is $y\geq 1$

Answer 2

Answer:

7, 1 then 7, -1

Step-by-step explanation: