Show:
Knowledge & Rationality
Linear Explanation
Domain & Range
Evaluating Functions
Standard Form
100
How many quadrants are in the coordinate plane?
four
100
y=√x+1
NO—the variable is under a radical
100
{(-2,8),(10,3),(19,-3),(2,4)}
D={-2,10,19,2} R={8,3,-3,4}
100
f(x)=2x for x=5
10
100
-3x + 2y = -18
3x - 2y = 18
200
What are the signs of the ordered pairs in each quadrant?
QI ( +, + ) QII (—, + ) QIII (—, —) QIV ( +, — )
200
w= 2/x - y
NO—the variable is in the denominator
200
{(1,3),(5,7),(7,5),(3,1)}
D={1,5,7,3} R={3,7,5,1}
200
f(x)=x+2 for x=2
4
200
5y = - 5 + 2x
2x - 5y = 5
300
What are the domain and ranges of a relation?
domain is x-values; range is y-values
300
a = b^2 + c
NO, the variable is raised to a power >1
300
{(5,18),(5,20),(5,30),(5,25)}
D={5} R={18,20,30,25}
300
g(x)= x/2 - 8x for x=-12
90
300
5x = 50y - 25
x - 10y = - 5
400
Are all relations functions? Explain.
Not necessarily. If a domain value repeats, then the relation isn’t a function.
400
y + 2x = -18
YES
400
{(-2,-8),(1.2,2.2),(3,4),(-11,-99)}
D={-2,1.2,3,-11} R={-8,2.2,4,-99}
400
h(x) = x^3 - 2x + 5 for h(2)
7
400
1/2 x - 3y = - 4
x - 6y = - 8
500
What are the domain and range of a line?
All lines have a domain of all real numbers and a range of all real numbers.
500
y=xyz
NO, the variable is multiplied to another variable
500
y = 2x - 1
D=R (all real #s) R=R (all real #s)
500
h(2n) for h(x) = 2x^3 - 4
16n^3 - 4
500
y= 3/8 x + 5
3x - 8y = - 40