MP3 - Classwork #2

Front

What is the value of x for which f(x) = -5?

Back

To find the value of x for which f(x) = -5, you need to solve the equation f(x) = -5. In this case, the answer is x = -2.

Front

What is the range of a relation?

Back

The range of a relation is the set of all output values (y-values) that correspond to the input values (x-values). For the relation (9, -2), (4, 3), (8, 10), (-4, 8), the range is {-2, 3, 8, 10}.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function g(x) at a specific value, substitute the value into the function. For example, g(-3) = -2(-3)^3 + 3(-3) = -27.

Front

What is a survey and how is it used in statistics?

Back

A survey is a method of collecting data by asking people questions. It is used in statistics to gather information about preferences, opinions, or behaviors of a group.

Front

How do you calculate the percentage of a group?

Back

To calculate the percentage of a group, divide the number of individuals in the subgroup by the total number of individuals in the group and multiply by 100. For example, if 37 out of 100 students prefer pizza, the percentage is (37/100) * 100 = 37%.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. It can be solved to find the values of the variables that satisfy all equations simultaneously.

Front

How do you set up a system of equations from a word problem?

Back

Identify the variables, write equations based on the relationships described in the problem, and ensure the equations represent the conditions given.

Front

What does it mean for a function to be defined?

Back

A function is defined when there is a specific rule or equation that assigns each input exactly one output. For example, g(x) = -2x^3 + 3x is a defined function.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the variable that is manipulated or changed, while the dependent variable is the variable that is measured or observed in response to changes in the independent variable.

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis. It represents the output value when the input value (x) is zero.