NC Math I EOC Review - Functions

Front

What does the y-intercept of a linear function represent?

Back

The y-intercept represents the initial value of the dependent variable when the independent variable is zero.

Front

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

Back

To find the y-intercept of a quadratic function, set x = 0 and solve for f(0).

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

What does it mean for a function to have a zero?

Back

A zero of a function is a value of x for which f(x) = 0, indicating the points where the graph intersects the x-axis.

Front

How do you determine if a function is linear or nonlinear?

Back

A function is linear if it can be expressed in the form f(x) = mx + b. If it involves exponents greater than one or other operations like square roots, it is nonlinear.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is given by the formula A = length × width.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula A = (1/2) × base × height.

Front

How do you combine the areas of a rectangle and a triangle?

Back

To find the total area, add the area of the rectangle to the area of the triangle: Total Area = Area of Rectangle + Area of Triangle.

Front

What does it mean for a function to be quadratic?

Back

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