Algebra 1 Thanksgiving Mixed 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. For example, if a function has outputs that are always greater than or equal to 2, the range is represented as y ≥ 2.

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What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value). If any input corresponds to more than one output, the relation is not a function.

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How do you determine if a relation is a function using a graph?

Back

To determine if a relation is a function using a graph, apply the vertical line test: if any vertical line intersects the graph at more than one point, the relation is not a function.

Front

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. For example, if a function is defined for x-values between -5 and 1, the domain is represented as -5 ≤ x ≤ 1.

Front

What is the difference between domain and range?

Back

The domain refers to the set of all possible input values (x-values) of a function, while the range refers to the set of all possible output values (y-values) that the function can produce.

Front

What is an equation to represent a gym membership cost?

Back

Front

What does it mean for a number to be in the domain of a function?

Back

A number is in the domain of a function if the function can accept that number as an input without resulting in any undefined operations (like division by zero or taking the square root of a negative number).

Front

What is the significance of the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line crosses the graph at more than one point, the graph does not represent a function.

Front

How do you find the range of a function given its graph?

Back

To find the range of a function from its graph, identify the lowest and highest y-values that the graph reaches. The range is then expressed in interval notation.

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What is a real number?

Back

A real number is any value that can be found on the number line, including all rational and irrational numbers.