Unit 3 Test Review (Algebra 1 Honors)

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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 between -4 and 4, the range is written as -4 ≤ y ≤ 4.

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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) that the function can accept. For example, if a function is defined for x values between -6 and 6, the domain is written as -6 ≤ x ≤ 6.

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Back

f(6) = 6^2 - 3(6) + 7 = 36 - 18 + 7 = 25.

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What is an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero on the number line, regardless of direction. It is defined as f(x) = |x|.

Front

What is the domain of the absolute value function?

Back

The domain of the absolute value function is all real numbers, written as (-∞, ∞).

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How do you find the range of a quadratic function?

Back

To find the range of a quadratic function, identify the vertex and determine if the parabola opens upwards or downwards. The range will be from the vertex value to infinity or from negative infinity to the vertex value.

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What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

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What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run). It is often represented by the letter m.

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What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of f(x) also increases. This means that the slope of the function is positive.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of f(x) decreases. This means that the slope of the function is negative.