9/MA S1 Final

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a linear function?

Back

The slope (m) of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.

Front

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

Back

The y-intercept (b) is the point where the graph of the function crosses the y-axis. It represents the value of the function when x = 0.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables and solve for y. This gives you the function that 'undoes' the original function.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the point (0, b) in a linear function?

Back

The point (0, b) is the y-intercept of the linear function, indicating where the line crosses the y-axis.

Front

What is the relationship between the graphs of linear functions and their equations?

Back

The graph of a linear function is a straight line, and the equation of the function describes the properties of that line, such as slope and intercept.

Front

How do you determine if two functions are equal?

Back

Two functions A(t) and B(t) are equal if their outputs are the same for the same input values, i.e., A(t) = B(t) for all t.

Front

What is the formula for distance traveled based on gallons of gas?

Back

The formula is m = 40g, where m is the distance in miles and g is the gallons of gas used.

Front

How do you express gallons of gas as a function of distance?

Back

To express gallons of gas as a function of distance, rearrange the equation m = 40g to get g = m/40.