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).

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.EE.A.3

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.

Tags

CCSS.8.EE.A.3

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.

Tags

CCSS.5.G.A.1

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.

Tags

CCSS.8.F.A.1

Front

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

Back

Between 5 and 6, closer to 6.

Tags

CCSS.8.NS.A.2

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.

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1