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Function Graphs: Increasing & Decreasing — Easy Worksheet 1
Grade 8 · MathSheets Name: ____________________ Date: __________
Use the graph. Write increasing, decreasing or constant when asked how the function changes; otherwise write a number.
How to solve
Read a graph from left to right. Where the line goes up, the function is increasing; where it goes down, it is decreasing; where it is flat, it is constant. The output for an input is the height of the graph above that x-value. Rate of change on a piece = change in output ÷ change in input.
Example
Is the function increasing, decreasing or constant from x = 3 to x = 4?
Answer: decreasing
Not quite. The answer is
💡 From (0, 1) to (1, 1) the graph stays flat at 1, so it is constant.
✓ Correct!
Not quite. The answer is
💡 From (0, 1) to (1, 1) the graph stays flat at 1, so it is constant.
💡 How to solve: Function Graphs: Increasing & Decreasing
Read a graph from left to right. Where the line goes up, the function is increasing; where it goes down, it is decreasing; where it is flat, it is constant. The output for an input is the height of the graph above that x-value. Rate of change on a piece = change in output ÷ change in input.
Try a similar one
What is the output when the input is 0?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 From (4, 7) to (7, 7) the graph stays flat at 7, so it is constant.
✓ Correct!
Not quite. The answer is
💡 From (4, 7) to (7, 7) the graph stays flat at 7, so it is constant.
💡 How to solve: Function Graphs: Increasing & Decreasing
Read a graph from left to right. Where the line goes up, the function is increasing; where it goes down, it is decreasing; where it is flat, it is constant. The output for an input is the height of the graph above that x-value. Rate of change on a piece = change in output ÷ change in input.
Try a similar one
Is the function increasing, decreasing or constant from x = 2 to x = 3?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 From (5, 3) to (8, 3) the graph stays flat at 3, so it is constant.
✓ Correct!
Not quite. The answer is
💡 From (5, 3) to (8, 3) the graph stays flat at 3, so it is constant.
💡 How to solve: Function Graphs: Increasing & Decreasing
Read a graph from left to right. Where the line goes up, the function is increasing; where it goes down, it is decreasing; where it is flat, it is constant. The output for an input is the height of the graph above that x-value. Rate of change on a piece = change in output ÷ change in input.
Try a similar one
Is the function increasing, decreasing or constant from x = 3 to x = 4?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 From (0, 2) to (2, 6) the graph goes up from 2 to 6, so it is increasing.
✓ Correct!
Not quite. The answer is
💡 From (0, 2) to (2, 6) the graph goes up from 2 to 6, so it is increasing.
💡 How to solve: Function Graphs: Increasing & Decreasing
Read a graph from left to right. Where the line goes up, the function is increasing; where it goes down, it is decreasing; where it is flat, it is constant. The output for an input is the height of the graph above that x-value. Rate of change on a piece = change in output ÷ change in input.
Try a similar one
What is the output when the input is 1?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Find 9 on the x-axis and go up to the graph. The graph passes through (9, 4), so the output is 4.
✓ Correct!
Not quite. The answer is
💡 Find 9 on the x-axis and go up to the graph. The graph passes through (9, 4), so the output is 4.
💡 How to solve: Function Graphs: Increasing & Decreasing
Read a graph from left to right. Where the line goes up, the function is increasing; where it goes down, it is decreasing; where it is flat, it is constant. The output for an input is the height of the graph above that x-value. Rate of change on a piece = change in output ÷ change in input.
Try a similar one
Is the function increasing, decreasing or constant from x = 3 to x = 4?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Find 0 on the x-axis and go up to the graph. The graph passes through (0, 6), so the output is 6.
✓ Correct!
Not quite. The answer is
💡 Find 0 on the x-axis and go up to the graph. The graph passes through (0, 6), so the output is 6.
💡 How to solve: Function Graphs: Increasing & Decreasing
Read a graph from left to right. Where the line goes up, the function is increasing; where it goes down, it is decreasing; where it is flat, it is constant. The output for an input is the height of the graph above that x-value. Rate of change on a piece = change in output ÷ change in input.
Try a similar one
What is the output when the input is 0?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Find 4 on the x-axis and go up to the graph. The graph passes through (4, 9), so the output is 9.
✓ Correct!
Not quite. The answer is
💡 Find 4 on the x-axis and go up to the graph. The graph passes through (4, 9), so the output is 9.
💡 How to solve: Function Graphs: Increasing & Decreasing
Read a graph from left to right. Where the line goes up, the function is increasing; where it goes down, it is decreasing; where it is flat, it is constant. The output for an input is the height of the graph above that x-value. Rate of change on a piece = change in output ÷ change in input.
Try a similar one
Is the function increasing, decreasing or constant from x = 3 to x = 4?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 From (0, 4) to (3, 1) the graph goes down from 4 to 1, so it is decreasing.
✓ Correct!
Not quite. The answer is
💡 From (0, 4) to (3, 1) the graph goes down from 4 to 1, so it is decreasing.
💡 How to solve: Function Graphs: Increasing & Decreasing
Read a graph from left to right. Where the line goes up, the function is increasing; where it goes down, it is decreasing; where it is flat, it is constant. The output for an input is the height of the graph above that x-value. Rate of change on a piece = change in output ÷ change in input.
Try a similar one
What is the output when the input is 3?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Function Graphs: Increasing & Decreasing — Easy Worksheet 1
Use the graph. Write increasing, decreasing or constant when asked how the function changes; otherwise write a number.