The set of x-values are called ____.
Domain
What is the independent variable shown in this graph?
Year
What is the equation for slope-intercept form and LABEL ALL PARTS.
Y is the range or dependent variable, and X is the domain or independent variable.
How do we solve an equation?
Isolating the variable or trying to get the variable on one side of the equation.
Write the equation for the following statement:
The sum of a number and 4, then doubled, and divided by 5 is equivalent to 8.
8= (2(x+4))/5
Define a function.
For every input there is EXACTLY ONE output.
What are the THREE types of associations that we've learned?
Positive Associations
Negative Associations
No Associations
What is the formula used to find slope?
Solve the equation:
2+ r = 7 + 6r
r = -1
True or False:
All functions are relations, but not all relations are functions.
True! :)
As the independent variable increases, the dependent variable decreases. This is known as a ____ ______.
Negative Associations
What type of association does the scatter plot depict?
Negative Association
Find the slope between (7,2) and (11,4).
m=1/2
What does it mean when you solve an equation and get a statement that if FALSE.
Ex. x + 4 = x + 2
4 ≠ 2
It means there is no solution.
There is no value of the variable that will make the equation true.
The width of a rectangular fence is 12 feet, and the area of the fence is 132 square feet. What is the perimeter of the fence?
Width: 12 feet Length: 11 feet
Perimeter of the rectangular fence is
2(12)+2(11)= 46
When a function has no two same elements in the domain mapped to the same element in the range.
Hint:Everything is unique
One-to-one or Injective
What type of association does the scatter plot depict?
No Association
Write the equation in slope-intercept form for the graph shown.
y=-2x+3
Solve the equation:
5(x+2)= 2(x+11)
x=4
The cost of a pizza is $19.99 plus $1.50 per topping. How many toppings are on a pizza that costs $27.49 ?
5 toppings
The domain of a function when it consists of just whole numbers.
Discrete
In a sentence describe the type of association of the independent and dependent variables.
As the internet usage increases, the age decreases. This means that the scatterplot is showing a negative association.
A line passing through points (2,2) and (3,4) will have the equation y=_____.
y=2x-2
Solve the equation:
2(x+5)+6x=8x+10
Inf. many solutions
Solve the inequality and write the solution in set notation. f(x)<g(x)
f(x)=-3x+9 g(x)=4x+2
{x : x>1} or {x l x>1}