Evaluating Expressions & Functions
Evaluate x^2+2x-1 for x=2
7
Solve the equation:
(x+10)^2=36
x=-4, -16
What test do we use to determine if a graph represents a function?
What is the domain of f(x)=x^2+x
(-infty, infty)
What do we do to find the zeros of a function?
Set the function equal to zero.
Or you could say, replace the f(x) with zero.
Evaluate (2x)/(x-5) for x=6
12
Solve the equation:
f(x)=3x^2-x-10
x=2, -5/3
Is x^2-3=y-2 a function?
Yes.
What is the domain of f(x)=4/(x-7) ?
(-infty, 7)cup(7, infty)
Find the zeros of f(x)= x^2-49
x=7, -7
f(x)=x^2-2x
Find f(4)
8
Solve the equation: x^3+5x^2+6x
x=0,-2,-3
Is the relation {(2,3), (4,-5), (-5,4), (2,7), (3,2)} a function?
No.
What is the domain of f(x)=sqrt(3-9x) ?
(-infty, 1/3]
Find the values for which f(x)=g(x) if f(x)=3x^4-x^3 and g(x)=-7x^3
x=0,-2
f(x)=x^2-2x
Find f(2a)
4a^2-4a
Solve:
2x^3-6x^2-9x+27
x=3,3/sqrt2
Use the vertical line test to determine if x^2+y^2=25 is a function.
It fails the vertical line test.
Find the domain of sqrt(4-x)/(x+7)
(-infty, -7)cup(-7,4]
Find the values for which f(x)=g(x) if f(x)=x^2-8x-12 and g(x)=6x-52
x=10, 4
f(x)=x^2-2x
Find f(2a+3)
4a^2+2a+3
Solve the equation:
sqrt(6-x)+1=sqrt(2x-6)
5
A relation f has the property f(2)=8 , f(8)=9 , and f(2)=7 .
Is f a function?
No.
Find the domain of f(x)=sqrt(x+2)/(x^2-9x+18)
[-2,3)cup(3, 6)cup(6,infty)
Find the values for which f(x)=g(x) if f(x)=5x^3-9 and g(x)=-15x^2+3x
x=-3,sqrt(3/5),-sqrt(3/5)