Exploring Writing and Graphing Functions

The video tutorial covers writing and graphing function rules, starting with identifying ordered pairs as functions. It explains how to determine the slope and y-intercept for linear equations in the form y=mx+b. The tutorial includes examples with both increasing and decreasing y values, as well as handling non-unit x increments. Finally, it demonstrates graphing linear equations using a table of values, emphasizing the importance of understanding patterns and using tools like Desmos for calculations.

What does each input in a function correspond to?

• Only one output

• Multiple outputs

• Variable outputs

• No output

What is the slope in the equation y = mx + b?

• The y-intercept

• The x-intercept

• The rate of change of y with respect to x

• The constant term

If x increases by 1 and y increases by 3, what is the slope?

• 2

• 1

• 3

• 4

What is the y-intercept in the equation y = 3x + 1?

• 1

• 3

• 4

• 0

In the example where x increases by 1 and y decreases by 5, what is the slope?

• 1

• -5

• -1

• 5

If the y-intercept is 10 in the equation y = -5x + 10, what happens to y when x is 0?

• y is 10

• y is 5

• y is -5

• y is 0

When x increases by 2 and y increases by 4, what is the slope when x increases by 1?

• 4

• 3

• 1

• 2

In the equation y = 2x + 2, what is the y-intercept?

• 1

• 0

• 4

• 2

What is the output when x is -2 in the equation y = -2x + 1?

• 5

• -1

• 3

• 1

What is the pattern of change in y values when x increases by 1 in the equation y = -2x + 1?

• Increasing by 2

• Decreasing by 2

• Increasing by 1

• Decreasing by 1