Algebra Midterm Exam 2024

Front

What is a relative maximum in a function?

Back

A relative maximum is a point on the graph of a function where the function value is higher than the values of the function at nearby points. It occurs at a peak in the graph.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing on an interval if, as the input values increase, the output values also increase. Conversely, a function is decreasing on an interval if, as the input values increase, the output values decrease.

Front

What is the significance of the y-coordinate at a point where a function changes from increasing to decreasing?

Back

The y-coordinate at this point represents the maximum value of the function at that point, indicating a relative maximum.

Front

How do you determine the inequality represented by a graph?

Back

To determine the inequality, analyze the shaded region and the boundary line of the graph. The shaded area indicates where the inequality holds true.

Front

What is the general form of a linear equation?

Back

Front

Back

Front

What is the slope-intercept form of a linear equation?

Back

Front

What does the term 'x-intercept' refer to?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, meaning the output value (y) is zero.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (e.g., < or >) does not include the boundary point, while a non-strict inequality (e.g., ≤ or ≥) includes the boundary point.

Front

How can you identify a linear inequality from a graph?

Back

A linear inequality can be identified by the boundary line (solid for ≤ or ≥, dashed for < or >) and the shaded region indicating the solution set.