Functions Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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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 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.

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

Back

The y-intercept is found by evaluating the function at x = 0.

Front

What does it mean for a graph to be a function?

Back

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

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What is a zero of a function?

Back

A zero of a function is a value of x for which the function's output is zero (f(x) = 0).

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What is a parabola?

Back

A parabola is a U-shaped graph that represents a quadratic function, typically in the form y = ax^2 + bx + c.

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What is the vertex of a parabola?

Back

The vertex is the highest or lowest point on the graph of a parabola, depending on its orientation.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b.