Properties of Real Numbers
What is the commutative property of addition?
The order of values switch without changing the solution.
Solve the equation 2x+3=11.
4
Given the relation \{(1, 2), (2, 3), (3, 4)\}, what is the domain and range?
D:{1,2,3}
R:{2, 3, 4}
Define a function. Give an example.
Proper Definition and example
What is the value of 3+4*2?
11
Provide an example of the associative property of multiplication.
(a*b)*c=a*(b*c)
What is the solution to the inequality -5x-7>13?
x<-4
Identify the range of the function g(x)=−x+3
All real numbers
What is the difference between a relation and a function?
Function has no repeating x-values, a relation can
Solve the equation 5(x−2)=15
x=5
Explain how the distributive property can be applied to the expression 3(a+4).
3a+12 with verbal explanation
Cross-multiply to solve for x: 2/3=x/6.
x=4
Explain how to determine the domain of the function h(x)=1/(x−2)
Proper Explanation
Explain how to determine if a relation is a function using the vertical line test.
As you scan the graph with a vertically held object/line, you can not touch the line in more than one place at any time
If a function is defined as f(x)=3x+4, what is f(0)?
f(0)=4
If a=5 and b=3, what is the value of ab+a−b?
17
Cross-multiply to solve for x: 2/x=6/(x-4)
x=-2
What is the range of the function f(x)=(x^2)-5?
{-5, infinity)
Consider the set of ordered pairs \{(1, 2), (1, 3), (2, 4)\}. Is this a function? Why or why not?
No because the x-values repeat (1)
Picture of f(x)= x^2, what is the domain and range?
D: all real numbers
R: x>/= 0
Evaluate the expression 4(x+1)−3(2−x) when x=2 and explain your steps.
12 with explanation
Solve the two-step equation containing an absolute value: ∣2x−4∣=6
x=5, x=-1
For the function f(x)=Square root of (x−1), what is the domain? Justify your answer.
x>/= -1
Given the function f(x)=2x+1, what would f(3) be? Explain how you arrived at your answer.
7 with explanation
If the domain of a function is \{1, 2, 7, 8\}, what is the maximum number of elements in its range?
4 elements