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Relations and Functions
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Sets and Intervals
Relations and Functions
Graphs of Functions
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Functions as Models of Data
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7 problems
Type:
Any
Conceptual
Numerical
1.
Find the range of f(x) = (3x - 2)/(x + 1).
High School (11–12) · Relations and Functions
StemPy Lab
Hard
2.
Are f(x) = x²/x and g(x) = x equal functions?
High School (11–12) · Relations and Functions
StemPy Lab
Hard
3.
Find the domain and the range of f(x) = √(25 - x²).
High School (11–12) · Relations and Functions
StemPy Lab
Medium
4.
Find the domain of f(x) = (√(x + 3))/(x² - 1).
High School (11–12) · Relations and Functions
StemPy Lab
Easy
5.
On ℤ, let a R b mean that a - b is divisible by 4.
High School (11–12) · Relations and Functions
StemPy Lab
Medium
6.
Let R = {(x, y) : y = 3x - 1} be a relation from A = {1, 2, 3, 4} to ℕ.
High School (11–12) · Relations and Functions
StemPy Lab
Medium
7.
Let A = {1, 2, 3, 4} and B = {p, q}. How many elements do A × B and B × A each have?
High School (11–12) · Relations and Functions
StemPy Lab
Easy
StemPy Lab