Grade 12 Function Characteristics Worksheet
A Grade 12 Math worksheet focusing on identifying and analyzing key characteristics of functions including domain, range, intercepts, symmetry, and end behavior.
Includes
Standards
Topics
Function Characteristics Review
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Determine the domain and range of the function shown in the graph below.
Domain:
Range:
2. For the function f(x) = x³ - 4x, identify the x-intercept(s) and y-intercept.
x-intercept(s):
y-intercept:
3. Determine if the function f(x) = x² + 5 is even, odd, or neither. Justify your answer.
The function is .
Justification:
4. Which of the following describes the end behavior of the function f(x) = -2x⁴ + 3x² - 1?
As x → ∞, f(x) → ∞; as x → -∞, f(x) → -∞
As x → ∞, f(x) → -∞; as x → -∞, f(x) → ∞
As x → ∞, f(x) → -∞; as x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞; as x → -∞, f(x) → ∞
5. Consider the function g(x) = (x - 2)² + 3. Identify the intervals where the function is increasing and decreasing.
Increasing interval(s):
Decreasing interval(s):
6. A function can have more than one y-intercept.
True
False