Unit 3 Review: Linear Functions, Equations, and their Algebra

Front

What is a linear function?

Back

Front

What does the slope of a linear function represent?

Back

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

Front

What is the y-intercept of a linear function?

Back

Front

How do you write a piecewise function?

Back

A piecewise function is written using different expressions for different intervals of the input variable. It is typically defined using braces, for example: @@f(x) = { x - 4, & -5 ≤ x < -1 rac{1}{2}x + 5, & 4 ≤ x ≤ 8 }@@.

Front

What is the domain of a piecewise function?

Back

The domain of a piecewise function is the set of all possible input values (x) for which the function is defined. It is determined by the intervals specified in the piecewise definition.

Front

How do you find the value of x in a linear equation?

Back

To find the value of x in a linear equation, isolate x on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Front

What is the formula for calculating the slope between two points?

Back

Front

What are the units of the slope in a distance-time graph?

Back

Front

If a car travels 107 miles in 2 hours, what is its speed?

Back

Front

What is a direct variation?

Back