Functions & Interpreting Practice

Front

What is a linear function?

Back

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

Front

What is a function?

Back

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

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0). This indicates a constant ratio between the variables.

Front

What is the slope of a line?

Back

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

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented by the value of y when x is 0.

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero, always resulting in a non-negative value. It is expressed as f(x) = |x|.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

How can you determine if a relation is a function from a graph?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, the relation is not a function.

Front

What does it mean for a graph to be curvy?

Back

A curvy graph indicates a non-linear relationship between the variables, meaning the rate of change is not constant.