Algebra 1 Semester 1 Review

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What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain.

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What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

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What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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What does it mean for a graph to represent y as a function of x?

Back

A graph represents y as a function of x if every vertical line intersects the graph at most once (Vertical Line Test).

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What is a system of equations with no solution?

Back

A system of equations has no solution if the graphs of the equations are parallel and never intersect.

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What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.

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How do you determine the range from a graph?

Back

To determine the range from a graph, identify the lowest and highest y-values that the graph reaches.

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What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

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What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b.

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What is a quadratic function?

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A quadratic function is a function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.