Using Functions to Solve One-Variable Equations Lesson 7.2

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept of a function?

Back

The y-intercept is the value of y when x = 0; it is the point where the line crosses the y-axis.

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set y = 0 in the function's equation and solve for x.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

How can you represent a real-world situation with a function?

Back

You can represent a real-world situation with a function by identifying the variables involved and creating an equation that relates them.

Front

What is the significance of the constant term in a linear function?

Back

The constant term (b) in a linear function represents the initial value or starting point of the function when x = 0.

Front

How do you solve for x in a linear equation?

Back

To solve for x, isolate x on one side of the equation using algebraic operations.