Fall IM1 Final

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the solution to the equation x - 14 = 3?

Back

The solution is x = 17.

Front

What defines a function in mathematics?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the range of a function?

Back

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

Front

What does the equation y = 3x represent?

Back

This equation represents a linear function with a slope of 3, indicating that for every unit increase in x, y increases by 3.

Front

How can you determine if a graph represents a function?

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 the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

What does the notation (-∞, ∞) represent in terms of range?

Back

It indicates that the range includes all real numbers, from negative infinity to positive infinity.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.