CPM Algebra 1 Semester 1 Review

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What is a function machine?

Back

A function machine is a conceptual tool used to describe how a function takes an input, applies a rule, and produces an output. For example, if the function is defined as y = 2x + 3, inputting x = 1 would yield y = 5.

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How do you evaluate a function?

Back

To evaluate a function, substitute the given input value into the function's equation and simplify to find the output. For example, for the function y = 2x + 3, if x = 2, then y = 2(2) + 3 = 7.

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What is the definition of symmetry in graphs?

Back

Symmetry in graphs refers to a situation where one half of the graph is a mirror image of the other half. This can occur with respect to a line (line symmetry) or a point (point symmetry).

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a figure into two mirror-image halves. For example, the line x = -1 is a line of symmetry if the graph is identical on both sides of this line.

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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 -3 and 6, the range is written as -3 ≤ y ≤ 6.

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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 can be used in the function. For example, if a function is defined for x values between -7 and 7, the domain is -7 ≤ x ≤ 7.

Front

How do you find the range of a graph?

Back

To find the range of a graph, identify the lowest and highest points on the graph and express the range in interval notation. For example, if the graph reaches a minimum of -3 and a maximum of 6, the range is -3 ≤ y ≤ 6.

Front

How do you find the domain of a graph?

Back

To find the domain of a graph, look for the x-values that the graph covers. If the graph extends from -7 to 7, the domain is -7 ≤ x ≤ 7.

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What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

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What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means it rises, negative slope means it falls).