SuperTeacherTools

Functions with Domain and Range Answer Key

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Function or not?
#1 Is the following relation a function: {(-2,5),(3,4),(-2,6)} No
#2 Is the following equation a function: Input: 1,2,3,4 Yes
#3 Is the following relation a function: {(-3,6),(-2,6),(-1,6),(0,6),1,6)} Yes
#4 Is the following equation a function: y^2=4x+1 No
#5 Is the following equation a function: x^2+y^2+15=7 No
Evaluating
#1 Evaluate f(x)=x^2-1 at f(3) 8
#2 Evaulate f(x)=x^3+3x^2+2x+5 at f(2) 29
#3 Evaulate f(x)=(-2/3)x+5 at f(3x) -2x+5
#4 Evaluate f(x)=x^2+3 at f(2x+1) 4x^2+4x+4
#5 Evaulate f(x)= 2x^2+3x+5 at f(x^2+x) 2x^4+4x^3+5x^2+3x+5
Difference Quotient
#1 Find the difference quotient for f(x)=x+2 1
#2 Find the difference quotient for f(x)=10x 10
#3 Find the difference quotient for f(x)=x^2 2x+h
#4 Find the difference quotient for f(x)=1-x^2 -2x-h
#5 Find the difference quotient for f(x)=x-x^2 1-2x-h
Domain
#1 Find the domain for f(x)=2x+3 All reals
#2 Find the domain for f(x)=x^2+2 All reals
#3 Find the domain for f(x)=x^4+3x^3+2x All reals
#4 Find the domain for f(x)= All x greater than or equal to 0
#5 Find the domain for f(x)=square root(x^2-4) All reals except the interval (-2,2)
Range
#1 Find the range of f(x)=2x+3 All reals
#2 Find the range for f(x)=x^2+2 All y greater than or equal to 2
#3 Find the range for f(x)=x^4+x^3+2x (approximate) All y greater than or equal to -2
#4 Find the domain for f(x)= All y greater than or equal to zero
#5 Find the domain for f(x)=square root(x^2-4) All y greater than or equal to zero
Final Question
What chapter of your book is the notes from? Chapter 3