Parent Function Review

Front

What is a Rational Function?

Back

A function that can be expressed as the ratio of two polynomials, typically in the form f(x) = \frac{P(x)}{Q(x)} where Q(x) ≠ 0.

Front

What is the parent function of a Linear Function?

Back

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

Front

What is the parent function of a Quadratic Function?

Back

f(x) = x^2.

Front

What is the parent function of a Cubic Function?

Back

f(x) = x^3.

Front

What is the parent function of an Exponential Function?

Back

f(x) = a^x, where a > 0 and a ≠ 1.

Front

What is the parent function of a Logarithmic Function?

Back

f(x) = log_a(x), where a > 0 and a ≠ 1.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) that a function can produce.

Front

What is the difference between Exponential Growth and Exponential Decay?

Back

Exponential Growth occurs when the base of the exponent is greater than 1 (e.g., f(x) = 2^x), while Exponential Decay occurs when the base is between 0 and 1 (e.g., f(x) = (1/2)^x).

Front

What is the inverse of an Exponential Function?

Back

A Logarithmic Function.