T3 P1 Linear Functions Review Flashcard

Front

What is a function?

Back

A function is a relation between a set of inputs (x-values) and a set of possible outputs (y-values) such that each input is related to exactly one output.

Front

What is the definition of domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (x) for which the function is defined.

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What is the definition of range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (y) that result from using the function.

Front

What does it mean for a relation to represent a function?

Back

A relation represents a function if, for every x-value, there is exactly one corresponding y-value.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the given value into the function's equation and simplify.

Front

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

Back

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

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What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

How do you find the domain of a function from a word problem?

Back

To find the domain from a word problem, identify the constraints on the independent variable (x) based on the context of the problem.

Front

What is the formula for calculating the cost of a taxi ride based on distance traveled?

Back

The cost of a taxi ride can be calculated using the formula: Cost = Base fare + (Cost per mile * (Distance - 1)) for distances greater than 1 mile.