Algebra 1: Quiz on Functions

Study Notes

Function Evaluation

To evaluate a function, substitute the input value into the equation. For example, with y = 2x + 5 and x = 3, calculate y by substituting 3 for x.

Terminology for Input and Output

The x-value in a function is referred to as the domain or input.
The y-value of a function is known as the range or output.

Function Characteristics

A function cannot have more than one output for a given input; this is a defining property of functions.
Conversely, it is possible for an output to correspond to more than one input.

Essential Function Rules

For every input in a function, there is only one output.
For every x-value in a function, there is only one corresponding y-value.

Graphical Analysis

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

Graphing Points and Domain

When plotting points on a graph, do not connect them if the domain consists of discrete values.

Function Representation

An example of a function can be expressed as "the output is 1 less than triple the input," represented mathematically as y = 3x - 1.

Function Evaluation with Specific Values

To evaluate q(x) = 2x - 5 at x = 10, substitute 10 into the equation: q(10) = 2(10) - 5.
For the equation q(x) = 2x - 5 when q(x) = 13, set up the equation 13 = 2x - 5 and solve for x.

Piecewise Functions

A piecewise function combines multiple functions, often defined by different expressions over specific intervals of the domain.

Description

Test your knowledge about functions in algebra with this set of flashcards. Each card covers important concepts such as inputs, outputs, and the evaluation of functions. Perfect for reinforcing your understanding of algebra 1 concepts.