Alg. 2 Honors Midterm Exam. 2024-25

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you determine the solution to a system of inequalities?

Back

To determine the solution, graph each inequality on the same coordinate plane and identify the overlapping region that satisfies all inequalities.

Front

What does the leading coefficient of a polynomial indicate?

Back

The leading coefficient indicates the direction of the graph as x approaches positive or negative infinity. A positive leading coefficient means the graph rises to the right, while a negative one means it falls to the right.

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of the variable in the expression, which affects the number of zeros and the end behavior of the graph.

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero. It represents the x-intercepts of the graph.

Front

What does multiplicity mean in relation to zeros?

Back

Multiplicity refers to the number of times a particular zero occurs. A zero with an even multiplicity will touch the x-axis, while one with an odd multiplicity will cross it.

Front

How do you find the y-intercept of a function?

Back

The y-intercept of a function is found by evaluating the function at x=0.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of f(x) decreases.

Front

How can you identify the intervals of increase and decrease from a graph?

Back

You can identify intervals of increase and decrease by observing the slope of the graph: if the graph rises, the function is increasing; if it falls, the function is decreasing.