Math 2 Unit 7 Review

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What does it mean to reflect a graph over the x-axis?

Back

Reflecting a graph over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is a direct variation?

Back

A direct variation is a relationship between two variables where one variable is a constant multiple of the other, typically expressed as y = kx, where k is a non-zero constant.

Front

If y = 2x, what is the constant of variation?

Back

The constant of variation is 2.

Front

How do you find the constant of variation in a direct variation problem?

Back

To find the constant of variation, divide the value of y by the value of x (k = y/x).

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

If a person with a mass of 90 kg contains 60 kg of water, how much water is in a person with a mass of 75 kg?

Back

50 kg of water.

Front

What is the relationship between mass and water content in direct variation?

Back

In direct variation, as the mass increases, the water content also increases proportionally.