Domain and Range from a Graph

RANGE is found by reading the ends of a graph from ___ to ___.

• Right to left

• Left to right

• Bottom to top

• Top to bottom

DOMAIN is found by reading the ends of a graph from ___ to ___.

• Right to left

• Left to right

• Bottom to top

• Top to bottom

What is the domain of the graph?

• x≤0

• x≥0

• All real numbers

• y≥0

Answer explanation

The domain of the graph represents all possible values of x for which the graph exists. In this case, the correct choice is 'x≥0' because it includes all values of x greater than or equal to zero. This choice ensures that the graph exists for all non-negative values of x. The other options, 'x≤0', 'All real numbers', and 'y≥0', do not accurately represent the domain of the graph.

What is the range of the graph?

• x≤0
• y≥0
• y≤0
• All real numbers

What is the domain of the function?

• x>3 
• x≥-3
• y≤4
• y<4

What is the range of the function?

• -7≤x≤6
• -7<x<6
• -8<y<2
• -8≤y≤2

What is the domain of the function?

• 0<h<80
• 0≤h≤80
• 0≤t≤4.5
• 0<t<4.5

What is the range of the function?

• 0≤h≤3

• 0≤h≤36

• h<3

• t≤36

Answer explanation

The question asks for the range of the function. The correct answer is '0≤h≤36'. This means that the value of 'h' can be any number between 0 and 36, inclusive. The other options are incorrect. Option '0≤h≤3' is too narrow, as it only allows values of 'h' up to 3. Option 'h<3' is incorrect because it excludes the value of 3. Option 't≤36' is unrelated to the question. Therefore, the correct range for the function is '0≤h≤36'.

What is the domain of the graph?

• {x| -∞ ≤ x ≤ ∞}

• (-∞,∞)

• -3 ≤ x ≤ 3

• -15 ≤ y ≤ 9

Answer explanation

The question asks for the domain of the graph. The correct choice is (-∞,∞), which represents all real numbers. This choice includes all possible values of x, from negative infinity to positive infinity. The other options restrict the values of x to specific intervals, which is not correct. Therefore, the domain of the graph is (-∞,∞).

What is the range of the graph?

• -15 < y < ∞
• (-∞, ∞)
• (-15, ∞)
• [-15, ∞)