Functions Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every input value, there is a unique output value.

Front

What is the vertical line test?

Back

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

Front

What does h(4) = 5 mean in the context of a function?

Back

It means that after 4 weeks, the output value (height of the plant) is 5 inches.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine if a mapping is a function?

Back

A mapping is a function if each input is associated with exactly one output. If any input is associated with more than one output, it is not a function.

Front

What does d(x) = 9.25x represent?

Back

This function represents the total earnings of Derek after x hours of work, where he earns $9.25 per hour.

Front

What is the significance of f(4) in a function?

Back

f(4) represents the output value of the function when the input is 4.

Front

What does it mean if a graph is a function?

Back

It means that for every x-value (input), there is exactly one corresponding y-value (output).

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.