Problem Statement

rand(2,9)

Find the domain and range of the function.

 
Step 1

Question Sequence

Question 1

Recall that the domain of any function is the set of all .

2
Incorrect
Correct

Question 2

Because of the square root, the radicand is restricted to .

2
Incorrect
Correct

 
Step 2

Since 3 - t can only be positive or zero, we have .

Question Sequence

Question 3

Solve this inequality for t.

2
Incorrect
Correct

Question 4

Thus, the domain of function g in interval notation is ( , ] or in set notation D:{t: t ≤ }.

(Type "inf" or "-inf" for ∞ or -∞)

2
Incorrect
Correct

 
Step 3

Question Sequence

Question 5

The range of any function, f(x), is the set of all values of y for which there exists at least one x such that .

2
Correct.
Incorrect.

Question 6

The only values a square root can produce are .

2
Correct.
Incorrect.

Question 7

Write this statement as an inequality for the given function g.

2
Correct.
Incorrect.

Question 8

Substituting values fo the domain, t ≤ 3, into verifies the smallest value of the range is g(t) = .

2
Correct.
Incorrect.

 
Step 4

Question 9

Thus, the range of the function y=g(t) in interval notation is [ , ) or in set notation R:{y: y ≥ }.

(Type "inf" or "-inf" for ∞ or -∞)

2
Correct.
Incorrect.