Ch 4 Graphs and Functions Flashcard

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two different pairs have the same first element.

Front

What does it mean for a graph to 'stay the same'?

Back

It means that the output value does not change as the input value changes, resulting in a horizontal line on the graph.

Front

Given f(x) = x^2 + 3x + 1, find f(-4).

Back

f(-4) = 5.

Front

What is a constant rate of change in a graph?

Back

A constant rate of change means that for every unit increase in the input, the output increases or decreases by a fixed amount, resulting in a straight line.

Front

What does it mean for a graph to quickly decrease at a constant rate?

Back

It indicates that the output value decreases rapidly as the input value increases, represented by a steep downward slope.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if any vertical line intersects the graph at more than one point, it is not a function.

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for a single input.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, representing the maximum or minimum value.

Front

What does the term 'ordered pair' refer to?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).