Identifying Parent Functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a foundation for more complex functions. Examples include linear, quadratic, cubic, and exponential functions.

Front

Identify the parent function: f(x) = ax^2 + bx + c.

Back

Quadratic function.

Front

Identify the parent function: f(x) = ax^3 + bx^2 + cx + d.

Back

Cubic function.

Front

What is the general form of a linear function?

Back

f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the general form of a cubic function?

Back

f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

Front

What is the increasing interval of a function?

Back

The increasing interval of a function is the range of x-values over which the function's output (f(x)) is rising.

Front

What is the decreasing interval of a function?

Back

The decreasing interval of a function is the range of x-values over which the function's output (f(x)) is falling.

Front

Identify the interval where the function is decreasing: f(x) = -x^2 + 4.

Back

(0, 4) is the interval where the function is decreasing.

Front

Identify the interval where the function is increasing: f(x) = x^2 - 4.

Back

(2, ∞) is the interval where the function is increasing.