Math 3 EOC Review

Front

What is the inverse of a function?

Back

The inverse of a function is a function that reverses the effect of the original function. If the function is f(x), then its inverse is denoted as f⁻¹(x) such that f(f⁻¹(x)) = x.

Front

What is the main advantage of experiments over observational studies?

Back

Experiments can usually give better evidence of causation because they allow researchers to control variables and establish a cause-and-effect relationship.

Front

What is the least biased sampling method?

Back

Random sampling is the least biased method as it gives every individual in the population an equal chance of being selected.

Front

How can the period of a sine or cosine graph be determined?

Back

The period can be found using the formula: Period = 2π / Angular Speed.

Front

What type of sampling is used when names are randomly selected from a list?

Back

This is an example of random sampling.

Front

Define 'function' in mathematics.

Back

A function is a relation that assigns exactly one output for each input from a given set.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the one that is changed or controlled in a scientific experiment, while the dependent variable is the one that is measured or affected.

Front

What is a hypothesis?

Back

A hypothesis is a testable prediction about the relationship between two or more variables.

Front

What is the purpose of a control group in an experiment?

Back

The control group serves as a baseline to compare the effects of the independent variable.