MATH 4 - Final Exam Review #6

Front

What is the domain of a function?

Back

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

Front

How do you determine the domain from a graph?

Back

Identify the x-values for which the graph exists; look for any restrictions such as holes or vertical asymptotes.

Front

What does it mean for a function to shift up or down?

Back

A vertical shift occurs when a constant is added (up) or subtracted (down) from the function's output.

Front

What is the parent function of y = x?

Back

The simplest linear function, which is a straight line passing through the origin with a slope of 1.

Front

How do you identify end behavior from a graph?

Back

Observe the values of f(x) as x approaches -∞ and +∞ to determine the behavior of the function.

Front

What does 'Right 2 and up 2' mean in terms of function transformation?

Back

The graph of the function has been shifted 2 units to the right and 2 units up from its original position.

Front

What is the significance of the inequality -3 < x ≤ 3?

Back

It indicates that x can take any value greater than -3 and up to and including 3.

Front

How do you find the vertical asymptote of a rational function?

Back

Set the denominator equal to zero and solve for x; these values indicate where the function is undefined.

Front

What is a horizontal asymptote?

Back

A horizontal line that the graph of a function approaches as x approaches ±∞.