Cards In This Deck

• $\text{How do you calculate the range of a quadratic function }f(x)=a{x}^2+bx+c\text{ on a restricted domain?}$
  $$\begin{gathered} \text{1. Complete the square to find the vertex (turning point).} \\ \text{2. Sketch the graph over the specific domain.} \\ \text{3. Identify the minimum and maximum y-values based on the vertex and endpoints.} \end{gathered}$$
• $$\begin{gathered} \text{True or False?} \\ \text{A mapping where one input maps to multiple outputs (one-to-many) is called a function.} \end{gathered}$$
  $$\begin{gathered} \text{❌ False} \\ \text{✅ A mapping is a function only if every input has a distinct (single) output. Functions can be one-to-one or many-to-one, but never one-to-many.} \end{gathered}$$
• $\text{What is the condition for the function }f(x)=\ln (3x-6)\text{ to be defined?}$
  $x>2$