8.5G Functions Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

How can you determine if a graph represents y as a function of x?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is scientific notation?

Back

Scientific notation is a way to express large or small numbers using powers of ten, written as a product of a number between 1 and 10 and a power of ten.

Front

How do you convert a number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to its left, then count the number of places moved to determine the exponent of ten.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane, where x is the horizontal position and y is the vertical position.

Front

What does it mean for a set of ordered pairs to represent y as a function of x?

Back

It means that for every x-value in the set, there is exactly one corresponding y-value.

Front

Estimate the square root of 30. What is the range?

Back

Between 5 and 6, closer to 6.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function by checking if any vertical line crosses the graph more than once.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Front

How do you identify a function from a set of ordered pairs?

Back

Check if any x-value is repeated with different y-values; if so, it is not a function.