WEEKLY CHECK 4-2

Front

What is a function?

Back

A function is a relation where each input has exactly one output. It can be represented as a set of ordered pairs, a graph, or an equation.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

Front

What is the horizontal line test?

Back

The horizontal line test is used to determine if a function is one-to-one. If any horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input corresponds to multiple outputs.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or equal to the other.

Front

What does the inequality y > x + 1 represent?

Back

The inequality y > x + 1 represents all points above the line y = x + 1 on a graph.

Front

How do you solve for a missing leg length in a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse and a and b are the legs.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What is a table of values?

Back

A table of values lists pairs of input and output values, often used to represent a function.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input value corresponds to exactly one output value.