Compare Functions 8.f.2 Choice Board

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What does it mean for two functions to be equivalent?

Back

Two functions are equivalent if they produce the same output for every input in their domain.

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 function is linear?

Back

A function is linear if it can be represented by a straight line on a graph, which means it has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

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

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

What is a transformation in the context of functions?

Back

A transformation is a change made to a function that alters its graph, such as shifting, reflecting, stretching, or compressing.

Front

What is a function's intercept?

Back

The intercepts of a function are the points where the graph intersects the axes: the x-intercept(s) where y=0 and the y-intercept where x=0.