Domain and Range
For the linear function f(x)=2x+7 what is the Domain?
All real numbers, (-infinity, +infinity)
Use the method of completing the square to find the solutions for the equation. x2−10x+16=0
x=2 and x=8
Describe the end behavior of the graph of the polynomial function f(x)=−x4+3x2−5.
x→∞, f(x)→−∞ and as x→−∞, f(x)→−∞
For the absolute value function f(x)=|x-3|, what is the range?
[0, +infinity), y≥0
Solve the equation x2−8x+23=6 by completing the square.
Describe the end behavior of the graph of the polynomial function g(x)=(x+1)(2−x)(x−3)2
as x→∞, g(x)→−∞ and as x→−∞, g(x)→−∞
What is the Range of the function g(x)=3(x+1)^2-4
[-4, infinity)
For the equation x2+4x+13=0, complete the square to find all solutions.
Describe the end behavior of the graph of the polynomial function f(x)=-x3+8x2-20x+12
As x→+∞, f(x)→−∞
As x→−∞, f(x)→+∞
What is the domain of the function
f(x)=square root(x+5)
[-5, infinity)
Solve the quadratic equation 3x2+12x−15=03 by completing the square.
Describe the end behavior of the graph of the polynomial function f(x)=x4+2x3-x2+5
As x→+∞, f(x)→+∞
As x→-∞, f(x)→+∞
What is the domain of the equation? y=(sqrt x)3 {y less than or equal to 8}
Find the solutions for the equation 4x2+5x−7=0 by completing the square.
x=-(5±sqrt(137))/8
Describe the end behavior of the graph of the polynomial function f(x)=x4-3x2+3x+3
As x→+∞ f(x)→+∞
As x→-∞, f(x)→+∞