3.4 Construct Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function. It is calculated as the change in the y-values divided by the change in the x-values.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the function on the y-axis.

Front

How do you write the equation of a line in slope-intercept form?

Back

Front

What is the initial value in a linear function?

Back

The initial value is the y-intercept of the function, indicating the starting value when the independent variable (x) is zero.

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.

Front

What is the equation for a linear function that models a situation?

Back

Front

What does the term 'constructing a function' mean?

Back

Constructing a function means creating a mathematical expression that accurately represents a real-world situation or relationship.

Front

How do you find the total cost in a linear cost function?

Back

Front

What is the significance of the slope in a real-world context?

Back

In a real-world context, the slope represents the rate of change, such as cost per item or speed, indicating how one quantity changes in relation to another.