Functions – Domain and Range
Functions – Domain and Range Name_______________
1. The formula for find the volume of a sphere is V= [pic][pic]r3 where V is the volume and
r is the radius. Change this formula into function notation and explain the three parts
____________
2. A. Explain why the graph of H(x) is a function.
B. Give the domain and range of H(x)
C. Find H(-1) D. H(7)
E. For what values of x is H(x) = 2
3. Refer to the graph of w(x)
A. For what values of x is w(x) = 0?
B. For what values of x is w(x) > 0?
C. Give the domain and range of w(x)
D. w(2)
4. The graph represents the equation y = b(x), where b(x) is a function.
A Find b(-1)
B Find b(5)
C. Solve b(x) = 2 for x
D. Solve b(x) = -3 for x
E. What is the domain of function b(x)?
F. What is the range of function b(x)?
5. Graph these functions and give the domain and range.
A. r(x) = 2x + 3 B. f(x) = -4x2 +4 C. t(x) = 0.4(x – 2)(x + 3)(x + 4)
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The __________________ is a function of the ____________
The _______________ is the input variable
__________ is the output value
A. Domain
B. Range
C. r(2)
D. r(0)
E. Value of x when
r(x) = 3
A. Domain
B. Range
C. f(2)
D. f(0)
E. Value of x when
f(x) = 0
A. Domain
B. Range
C. t(2)
D. t(0)
E. Value of x when
t(x) = 0
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