Parent Functions

Front

What is an Exponential Function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent. The base b determines the growth rate.

Front

Identify the parent function: f(x) = 2^x

Back

Exponential Function

Front

What is the general form of a Cubic Function?

Back

A cubic function is a polynomial function of degree three, typically expressed as f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

Front

Identify the parent function: f(x) = x^3

Back

Cubic Function

Front

What are the domain and range of a Quadratic Function?

Back

Domain: D = (-∞, ∞); Range: R = [0, ∞) for f(x) = x^2.

Front

What is the Identity Function?

Back

The identity function is defined as f(x) = x, where the output is equal to the input.

Front

What are the domain and range of the Identity Function?

Back

Domain: D = (-∞, ∞); Range: R = (-∞, ∞).

Front

What is a Linear Function?

Back

A linear function is a polynomial function of degree one, expressed as f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Identify the parent function: f(x) = mx + b

Back

Linear Function

Front

What is a Quadratic Function?

Back

A quadratic function is a polynomial function of degree two, typically expressed as f(x) = ax^2 + bx + c, where a ≠ 0.