Understanding Basic Functions

This video tutorial provides a quick review of how to graph nine basic functions: constant, identity, absolute value, quadratic, cubic, square root, cube root, reciprocal, and reciprocal of squared functions. It explains how to recognize their graphs and equations, using function notation and tables of values. The tutorial emphasizes the importance of practice in identifying these functions and provides examples for each type, highlighting key characteristics such as slopes, intercepts, and asymptotes.

What is the purpose of using function notation in graphing?

• To avoid using tables of values

• To ensure all functions are linear

• To simplify the process of graphing

• To make equations more complex

What does the graph of a constant function look like?

• A curved line

• A horizontal line

• A diagonal line

• A vertical line

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How can you identify the identity function on a graph?

• It is a horizontal line

• It is a line with a slope of 1

• It is a vertical line

• It is a parabola

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What shape does the graph of an absolute value function take?

• A circle

• A straight line

• A V shape

• A U shape

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CCSS.HSF-IF.C.7A

Which of the following is true about the quadratic function?

• It forms a V shape

• It is a horizontal line

• It is a straight line

• It forms a U-shaped parabola

What is a key characteristic of the cubic function's graph?

• It is a straight line

• It forms a U shape

• It curves due to its cubic nature

• It is a horizontal line

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Why can't you select negative values for the square root function?

• It results in a negative graph

• It is undefined

• It forms a straight line

• It results in a complex number

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What is unique about the cube root function compared to the square root function?

• It only accepts positive values

• It can accept any real number

• It forms a straight line

• It is undefined for negative values

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What happens to the reciprocal function as x approaches zero?

• It approaches a vertical asymptote

• It becomes a straight line

• It forms a U shape

• It becomes undefined

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How does the graph of the reciprocal of squared function behave for negative x values?

• It becomes undefined

• It becomes negative

• It remains positive

• It forms a straight line

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