Semester 1 Review day 2

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is a method 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.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What does it mean if a mapping is not a function?

Back

If a mapping is not a function, it means that at least one input is associated with more than one output.

Front

What is the significance of the output in a function?

Back

The output in a function is the result obtained after applying the function to an input.

Front

How can you tell if a table represents a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

What operation would you perform to solve the equation x - 62 = 123?

Back

You would add 62 to each side to isolate x.

Front

What does it mean for a graph to pass the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value.