Math 3 Pre-assessment

Front

What is the value of f(-3) for the function f(x) = -2x + 5?

Back

11

Front

Define a linear function.

Back

A linear function is a function that can be graphically represented as a straight line, and it has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much the output (y) changes for a unit change in the input (x).

Front

What is the y-intercept of the function f(x) = -2x + 5?

Back

5

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the x-value into the function and simplify.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

What is the significance of the x-value in a function?

Back

The x-value represents the input of the function, which is used to calculate the corresponding output (y-value).

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing if its slope is positive (m > 0) and decreasing if its slope is negative (m < 0).

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the domain of a linear function?

Back

The domain of a linear function is all real numbers, as there are no restrictions on the input values.