Function Notation Practice

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols. It typically uses the format f(x), where 'f' is the name of the function and 'x' is the input variable.

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How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation. For example, if f(x) = 2x + 3, to find f(2), substitute 2 for x: f(2) = 2(2) + 3 = 7.

Front

What does g(x) = 9x + 24 represent?

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This represents a linear function where 'g' is the function name, 'x' is the input variable, and the expression 9x + 24 defines the output based on the input.

Front

How do you find the output of a function machine?

Back

To find the output of a function machine, follow the operations defined by the function for the given input. For example, if the function is g(x) = 9x + 24 and the input is 7, calculate g(7) = 9(7) + 24 = 87.

Front

What is the output of f(x) = \frac{4}{x} when x = 2?

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To find f(2), substitute 2 into the function: f(2) = \frac{4}{2} = 2.

Front

What is the solution to g(x) = 87 when g(x) = 9x + 24?

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To find x, set 9x + 24 = 87. Subtract 24 from both sides: 9x = 63. Then divide by 9: x = 7.

Front

What does it mean if a function has no solution?

Back

A function has no solution when there is no value of the input that satisfies the equation. For example, if a function's output cannot equal a certain number based on its definition.

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How do you solve for x in a function equation?

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To solve for x, isolate x on one side of the equation. Use inverse operations to move other terms to the opposite side.

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What is the significance of the output in a function?

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The output of a function is the result obtained after applying the function's rule to the input. It represents the value that corresponds to the given input.

Front

What is a function machine?

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A function machine is a visual representation of a function that shows how an input is transformed into an output through a specific rule or operation.