Math 4 Unit 2 Functions Test Class 2A

Front

Given f(x) = 3x - 19, Evaluate f(-6)

Back

f(-6) = 3(-6) - 19 = -18 - 19 = -37

Front

What is the DOMAIN for the given piecewise function graph?

Back

The DOMAIN is (-∞, +∞).

Front

Given the following piecewise function, Evaluate g(-13)

Back

g(-13) = -162.

Front

Given f(x) = x + 2 and g(x) = x^2 + 2x - 1, Evaluate (fg)(x)

Back

(fg)(x) = f(g(x)) = f(x^2 + 2x - 1) = (x^2 + 2x - 1) + 2 = x^2 + 2x + 1 = (x + 1)^2.

Front

Use the following table to evaluate the following function: Evaluate (f o g)(3)

Back

(f o g)(3) = 6.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

Define the term 'domain' in the context of functions.

Back

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

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a certain interval of the domain.

Front

Explain the concept of function composition.

Back

Function composition is the process of applying one function to the results of another function, denoted as (f o g)(x) = f(g(x)).

Front

What does it mean for a function to be undefined?

Back

A function is undefined at a point if there is no output value for that input, often due to division by zero or taking the square root of a negative number.