function rule

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between input (x) and output (y) values in a function.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value) associated with it.

Front

What is the function rule for the table where x = 1, y = 6; x = 2, y = 11; x = 3, y = 16?

Back

y = 5x + 1.

Front

What does the equation c = 12p + 3 represent?

Back

It represents the total cost (c) of ordering p pizzas, where each pizza costs $12 and there is a $3 delivery fee.

Front

If the function rule is y = 2x + 3, what is the output when x = 4?

Back

y = 2(4) + 3 = 11.

Front

What is the slope in the function rule y = 3x + 2?

Back

The slope is 3.

Front

What does it mean if a function is linear?

Back

A linear function is a function that graphs to a straight line, which means it has a constant rate of change.

Front

What is the y-intercept in the function rule y = -2x + 5?

Back

The y-intercept is 5.

Front

How can you express the function rule for a constant function?

Back

A constant function can be expressed as y = c, where c is a constant value.

Front

What is the function rule for the sequence 2, 4, 6, 8, ...?

Back

The function rule is y = 2n, where n is the position in the sequence.