M2 T3 Test Review

Front

What is a function?

Back

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

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the output of a function when the input is 4 if the function is defined as f(x) = 2x?

Back

The output is 8.

Front

How can you tell if a graph is increasing?

Back

A graph is increasing when the y-values rise as the x-values increase.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is produced by exactly one input, meaning no two different inputs produce the same output.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

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

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.