9.1-9.2 Practice

Front

What is end behavior in graphing functions?

Back

End behavior describes how the values of a function behave as the input approaches positive or negative infinity.

Front

Define a function in mathematical terms.

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is a one-to-one function?

Back

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

Front

What does it mean if a graph has no absolute minimum?

Back

It means that there is no lowest point on the graph; the function does not reach a minimum value.

Front

How do you identify the end behavior of a polynomial function?

Back

Examine the leading term of the polynomial; it determines the direction of the graph as x approaches infinity or negative infinity.

Front

What is the range of a function?

Back

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

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

Explain the concept of limits in calculus.

Back

A limit is the value that a function approaches as the input approaches a certain point.

Front

What is the significance of the leading coefficient in a polynomial function?

Back

The leading coefficient affects the end behavior of the graph; it determines whether the graph rises or falls as x approaches infinity.

Front

Define asymptote in the context of graphing functions.

Back

An asymptote is a line that a graph approaches but never touches or crosses.