Multi-Step Equation
Solve for x: 2x+3=11
x=4
a function is a relation from a set of inputs/ordered pairs.
What is a compound inequality?
a set of two or more inequalities
f(x)=x+2
what is f(3)?
5
What symbol would you use to represent "less than or equal to"?
≤
Solve for x: 3(x+4)=18
x=2
Is this following relation a function?
{ (1,2) , (2,3), (3,4), (2,5) }
No, because the x inputs are repeating.
Solve the Inequality:
2<x+3≤7
-1<x≤4
f(x)=2x−7
what is g(4)?
1
Solve the inequality: 3x−5>7
x > 4
solve for x: 3x+4-2x=6x-2
x=6
If f(x)=3x-5
what is the value of f(4)?
7
disjunction
A square park has a side length of x meters. The area of the park can be calculated using the function h(x)=x^2. If the side length of the park is 5 meters, what is the area of the park?
25 meters
where are the x-values and y-values locations on a graph?
x-values are all across the horizontal line and y-values are on the vertical line of the graph.
solve for x: 5(2x-3=3(x+6)+2x
x=5
If f(x)=x2 + 2x
what is the value of f(3)?
15
Solve the compound inequality:
x-2≥3 or x+4≤1
x>5 or x≤-3
How do you evaluate functions?
evaluating functions lead to substituting a specific value for the variable x and then certain calculations to simplify to your result.
Given the inequality 2x − 3 ≤ 5 find the range of possible values for x.
x≤4
solve for x: 3(x-2)+5=2(x+3)-x
x=1
This type of function returns the same value for all inputs
Constant function
A theater offers discounted tickets to patrons based on their age. Children aged 3 to 12 years old qualify for the children’s discount, and seniors aged 65 years or older qualify for the senior discount.
Write a compound inequality to represent the ages of people who do not qualify for any discount.
48 ≤ x < 80
f(x)=5x^4−3x^3+2x^2−x+7
evaluate f(−1).
16
What exactly are inequalities and how do you graph them?
Inequalities show the relationship between two expressions and to graph them you need to draw a line, place an open or closed circle at the number, and shade to the left or right based on the inequality.