Flashcard - Friday, November 15th

Front

What is the definition of an absolute value function?

Back

An absolute value function is a function that returns the non-negative value of a number, denoted as f(x) = |x|.

Front

What does the graph of f(x) = |x - 4| + 3 look like?

Back

It is a V-shaped graph that opens upwards, with the vertex at the point (4, 3).

Front

What does it mean for two lines to be identical in a system of equations?

Back

Identical lines have the same slope and y-intercept, resulting in infinitely many solutions.

Front

How do you evaluate the absolute value of a negative number?

Back

The absolute value of a negative number is its positive counterpart; for example, |-12| = 12.

Front

What is the significance of the inequality y ≤ 5x - 1?

Back

It represents all points (x, y) that lie on or below the line y = 5x - 1.

Front

What is the solution set for the inequality y ≤ 5x - 1?

Back

The solution set includes all points below the line, including the line itself.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines are parallel and will never intersect.

Front

What is the graphical representation of the function f(x) = |x + 4| + 3?

Back

It is a V-shaped graph that opens upwards, with the vertex at the point (-4, 3).

Front

How can you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality and check if the statement is true.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.