Sat, Dec 7 :Functions, Linearity, Continuity, etc.

Front

What is the end behavior of a function as x approaches -∞?

Back

The end behavior as x → -∞ can be either -∞ or ∞, depending on the function.

Front

What does it mean for a graph to be discontinuous?

Back

A discontinuous graph has breaks, jumps, or holes, meaning it is not connected.

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function; if a vertical line intersects the graph more than once, it is not a function.

Front

What characterizes a linear function?

Back

A linear function has a constant rate of change and can be represented by a straight line.

Front

What is a nonlinear function?

Back

A nonlinear function does not have a constant rate of change and cannot be represented by a straight line.

Front

What is the definition of continuity in functions?

Back

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

Front

How can you identify a linear function from its equation?

Back

A linear function can be identified by its equation in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, the value of f(x) decreases.