IM2 Fall 2024 Semester Exam (HONORS)

Front

What type of function describes a constant rate of change?

Back

Linear function.

Front

What is the general form of a quadratic function?

Back

f(x) = ax² + bx + c, where a ≠ 0.

Front

What is an exponential function?

Back

A function of the form f(x) = a * b^x, where a > 0 and b > 1.

Front

How do you determine if a table of values represents a linear function?

Back

Check if the differences between consecutive y-values are constant.

Front

What is the solution to the equation 5(x - 3)² + 1 = 81?

Back

x = -1, 7.

Front

What are the highest and lowest values of a function on a graph?

Back

The maximum and minimum y-values reached by the function.

Front

What is a recursive equation?

Back

An equation that defines a sequence based on previous terms.

Front

What does f(n) = f(n - 1) * 4 represent?

Back

A recursive function where each term is four times the previous term.

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point on the graph of the function.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate.