How do you find $$f(0)$$ for the function $$f(x) = 3x - 2$$ ?

Substitute 0 for x: $$f(0) = 3(0) - 2 = -2$$ .

What is the value of $$f(2)$$ if $$f(x) = 5x - 6$$ ?

$$f(2) = 5(2) - 6 = 10 - 6 = 4$$ .

If $$f(x) = -5x + 6$$ , what is $$f(1)$$ ?

$$f(1) = -5(1) + 6 = -5 + 6 = 1$$ .

What is the formula for a linear function?

A linear function can be expressed in the form $$f(x) = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What does the slope of a function represent?

The slope represents the rate of change of the function; it indicates how much the output changes for a unit change in the input.

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

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

If $$f(x) = 4x + 2$$ , what is $$f(3)$$ ?

$$f(3) = 4(3) + 2 = 12 + 2 = 14$$ .

What is the domain of a function?

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

What is the range of a function?

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

How do you find the value of a function at a specific point?

To find the value of a function at a specific point, substitute the point's x-value into the function's equation.

Evaluating Functions at Given Points Flashcards

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1.

FLASHCARD QUESTION

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

2.

FLASHCARD QUESTION

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What does it mean to evaluate a function?

Back

Evaluating a function means substituting a specific value for the variable in the function's expression to find the corresponding output.

3.

FLASHCARD QUESTION

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Back

4.

FLASHCARD QUESTION

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Back

5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

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