4.9 Unit 4 Test Review (Functions)

Front

What is a function?

Back

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

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What does it mean to dilate a function?

Back

To dilate a function means to stretch or compress it vertically or horizontally. A vertical dilation by a factor of k multiplies the output by k.

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What is the parent function of linear equations?

Back

The parent function of linear equations is f(x) = x, which represents a straight line with a slope of 1.

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How do you translate a function vertically?

Back

To translate a function vertically, you add or subtract a constant from the function. For example, f(x) + 3 shifts the graph up by 3.

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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).

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What does it mean to reflect a function over the x-axis?

Back

Reflecting a function over the x-axis means to invert its outputs. If f(x) is the original function, the reflected function is -f(x).

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What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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

Back

To find the value of a function at a specific point, substitute the x-value into the function and solve for y.

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What is a translation of a function?

Back

A translation of a function is a shift of the graph in a specific direction without changing its shape.

Front

What does 'the product of five and a number, increased by two' mean in algebraic terms?

Back

It means 5x + 2, where x is the number.