EM2 - Unit 4 Retake Flashcardizz

Front

What is the absolute value equation that represents Emily's location in relation to the school if Sam's house is 14 blocks away?

Back

|x – 14| = 6

Front

Describe the end behavior of a function where x approaches negative infinity and f(x) approaches negative infinity, and x approaches positive infinity and f(x) approaches positive infinity.

Back

The function decreases without bound as x approaches negative infinity and increases without bound as x approaches positive infinity.

Front

What does a piecewise function represent in the context of Luke's video game rentals?

Back

A piecewise function describes different rules for different intervals of x, such as the cost of renting games before and after a certain number.

Front

What is the equation for the balance remaining on Luke's gift card after renting games?

Back

f(x) = 25 - 3x for 0 ≤ x ≤ 5; f(x) = 15 - x for 6 ≤ x ≤ 10.

Front

What is the significance of transformations in graphing functions?

Back

Transformations such as shifts, stretches, and reflections change the position and shape of the graph.

Front

What does the notation f(x) represent in mathematics?

Back

f(x) represents a function of x, indicating the output value for a given input x.

Front

How do you interpret the solution |x – 14| = 6?

Back

This equation means that x is either 14 + 6 or 14 - 6, leading to two possible values for x.

Front

What is the meaning of 'end behavior' in the context of graphing functions?

Back

End behavior describes how the values of a function behave as the input approaches positive or negative infinity.

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a certain interval of the main function's domain.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.