Lesson 16

Front

What is the value of h(2) if h(x) = 3x^2 - 2x + 8?

Back

h(2) = 16

Front

Evaluate f(0) if f(x) = 2x + 4.

Back

f(0) = 4

Front

What is g(f(2)) if f(2) = 2 and g(x) = x + 3?

Back

g(f(2)) = 5

Front

Which of these is NOT the same: Range, Input, Dependent Value, Y-Value?

Back

Input

Front

Evaluate g(2) if g(x) = 3 - x.

Back

g(2) = 0

Front

Define the term 'Function'.

Back

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

Front

What is the definition of 'Domain' in a function?

Back

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

Front

What is the definition of 'Range' in a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

What does it mean for a function to be 'Injective'?

Back

A function is injective if it maps distinct inputs to distinct outputs.

Front

What does it mean for a function to be 'Surjective'?

Back

A function is surjective if every element in the codomain is mapped by at least one element from the domain.