Midterm Review

Front

What type of function is represented by the equation y = x/2 - 9?

Back

Linear function: A function that graphs to a straight line, represented by the equation y = mx + b.

Front

What inequality does the number line represent if it shows all values less than -4?

Back

x < -4: This indicates that x can take any value that is less than -4.

Front

If f(x) = 3x + 2, what is f(8)?

Back

f(8) = 3(8) + 2 = 26.

Front

What type of function is represented by the equation y = x^2 + 3x + 2?

Back

Quadratic function: A function that can be expressed in the form y = ax^2 + bx + c, where a ≠ 0.

Front

What does a zero slope indicate about a line?

Back

Zero slope: The line is horizontal, indicating no change in y as x changes.

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

What does it mean if a function is nonlinear?

Back

Nonlinear function: A function that does not graph to a straight line, such as quadratic or exponential functions.

Front

How do you determine the slope of a line from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the difference between x > 4 and x ≥ 4 on a number line?

Back

x > 4: Excludes 4; x ≥ 4: Includes 4.

Front

What is the value of f(0) if f(x) = 5x - 3?

Back

f(0) = 5(0) - 3 = -3.