Comparing Functions and Qualitative Graphs Test

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the constant slope, which represents how much the output (y) changes for a unit change in the input (x).

Front

What does the initial value represent in a linear equation?

Back

The initial value in a linear equation (y = mx + b) is the y-intercept, which is the value of y when x = 0.

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is a qualitative graph?

Back

A qualitative graph represents relationships and trends without specific numerical values, focusing on the general shape and direction.

Front

What does it mean for a slope to be zero?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in y as x changes.

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for a single input.

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the two points.

Front

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

Back

A non-linear graph does not form a straight line and can represent relationships that change at varying rates.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.