IM2 Fall 2024 Semester Exam

Front

What type of function is represented by a parabolic graph?

Back

Quadratic function

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the average rate of change of a function?

Back

Average rate of change = (f(b) - f(a)) / (b - a) for the interval [a, b].

Front

What type of function models a constant hourly wage?

Back

Linear function.

Front

Solve for x: (x-5)² = 36

Back

x = 11, -1

Front

What is the definition of a linear function?

Back

A function that creates a straight line when graphed, characterized by a constant rate of change.

Front

What is the difference between exponential and quadratic functions?

Back

Exponential functions grow at a constant percentage rate, while quadratic functions grow at a constant rate of change.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function's graph is a parabola that opens either upwards or downwards.