8th Grade Ch. 3 Test 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 between -8 and 2, the range is -8 ≤ y ≤ 2.

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What does it mean for a graph to be linear?

Back

A linear graph represents a straight line and can be described by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

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What is a nonlinear graph?

Back

A nonlinear graph does not form a straight line and can represent curves, circles, or other shapes. It cannot be described by a linear equation.

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How can you determine if a function is decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of f(x) decreases. For example, if f(x) is decreasing for -1 ≤ x ≤ 4, the function's output values drop as x moves from -1 to 4.

Front

What is an absolute value function?

Back

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

Front

What is the equation of the absolute value function that shifts up by 4 units?

Back

The equation is f(x) = |x| + 4.

Front

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) increases. This means that the graph of the function rises as you move from left to right.

Front

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.

Front

How do you find the intervals where a function is increasing or decreasing?

Back

To find intervals where a function is increasing or decreasing, analyze the slope of the function's graph or use the first derivative test.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value. It can be represented as f(x), where x is the input.