Unit/Cluster 4 test

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph does not represent a function.

Front

What is 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 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 interpret the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.

Front

If a car rental company charges a flat fee plus a variable cost per mile, how would you express the total cost mathematically?

Back

The total cost C can be expressed as C = flat fee + (cost per mile * number of miles), e.g., C = 30 + 0.50m.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What does it mean for a function to be non-linear?

Back

A non-linear function does not have a constant rate of change and cannot be represented by a straight line on a graph.