Alg 2 Semester 1 Exam REview

Front

What is the domain of the graph 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 asymptote of the function y = log_2(x)?

Back

The asymptote is x = 0, which means the graph approaches the vertical line x = 0 but never touches it.

Front

How do you find the inverse of a function?

Back

To find the inverse, swap the x and y variables and solve for y.

Front

What does it mean to reflect a graph over the x-axis?

Back

Reflecting a graph over the x-axis means that for every point (x, y) on the graph, there is a corresponding point (x, -y).

Front

What does it mean to stretch a graph vertically by a factor of 2?

Back

Stretching a graph vertically by a factor of 2 means that every y-coordinate of the points on the graph is multiplied by 2.

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

What is the parent function of y = |x|?

Back

The parent function of y = |x| is the absolute value function, which outputs the non-negative value of x.

Front

What does it mean to compress a graph vertically?

Back

Compressing a graph vertically means that the y-coordinates of the points on the graph are multiplied by a factor less than 1.

Front

What is the transformation of y = -2|x - 3| + 3 from the parent function?

Back

The transformation includes reflecting over the x-axis, stretching by a factor of 2, shifting right by 3 units, and shifting up by 3 units.

Front

How do you determine the x-intercepts of a function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.