Part A: Match the graph to the correct parent function (10 points)

Equation Bank (drag the equation to the correct function)

f(x)= x f(x)=x^2 f(x)=2^x f(x))= √x f(x)= 3√x

Function Name : Equation Graph

Cube Root Exponential Linear Quadratic Square Root
Equation Bank (drag the equation to the correct function)'

Part B: Multiple ChoicePick the answer that best gives the definition to “Parent Function”.
A function that is always increasing
The most complex function in a family of functions
The basic form of a function within a family, with no transformations
A function with a domain of all real numbers

1 answer

Part A: Match the graph to the correct parent function

  1. Cube Root Function: \( f(x) = 3\sqrt{x} \)
  2. Exponential Function: \( f(x) = 2^x \)
  3. Linear Function: \( f(x) = x \)
  4. Quadratic Function: \( f(x) = x^2 \)
  5. Square Root Function: \( f(x) = \sqrt{x} \)

Part B: Multiple Choice

The answer that best gives the definition of “Parent Function” is:

  • The basic form of a function within a family, with no transformations.