Finding Domain and Range from Graphs

The video tutorial explains how to determine the domain and range of a function using graphs. It provides multiple examples to illustrate how to identify the set of x-values (domain) and y-values (range) for which the function is defined. The tutorial emphasizes understanding inequalities and graph interpretation to find these values.

At which x value does the function first become defined?

• x = -8

• x = -6

• x = -9

• x = 0

What is the domain of the function described initially?

• x ≥ 7

• x ≤ 7

• -6 ≤ x ≤ 7

• x ≥ -6

For the second function, where does the domain start?

• x = 0

• x = -1

• x = -9

• x = 7

What is the domain of the second function discussed?

• -1 ≤ x ≤ 8

• -1 ≤ x ≤ 7

• -2 ≤ x ≤ 7

• -9 ≤ x ≤ -1

What is the lowest value of f(x) in the range discussed?

• 1

• -5

• -1

• 0

What is the highest value that f(x) reaches in the range?

• 10

• 5

• 7

• 8

In the final function discussed, what is the minimum x value in its domain?

• x = -2

• x = -1

• x = 0

• x = 5

What is the domain of the last function discussed?

• -2 ≤ x ≤ 5

• -2 ≤ x ≤ 7

• -1 ≤ x ≤ 5

• 0 ≤ x ≤ 5

What is the value of f(x) when x equals the starting point of the domain in the last function?

• -4

• -3

• 5

• 0

What is the value of f(x) at x = -1 in the last function discussed?

• -4

• 0

• -3

• 1