Grade 11 Math: Function Characteristics
Explore key characteristics of functions including domain, range, intercepts, symmetry, and end behavior through various problems.
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Function Characteristics Worksheet
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Determine the domain and range of the function shown in the graph below.
Domain:
Range:
2. Which of the following functions has an x-intercept at (3, 0)?
f(x) = 2x + 6
f(x) = x - 3
f(x) = x^2 + 9
f(x) = 3x
3. The function f(x) = x^3 is an even function.
True
False
4. For the function f(x) = -x^4 + 2x^2 - 1, as x approaches positive infinity, f(x) approaches , and as x approaches negative infinity, f(x) approaches .
5. Consider the function g(x) = |x - 2| + 1. Sketch its graph and identify the domain, range, and any intercepts.
Domain:
Range:
X-intercept(s):
Y-intercept(s):
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