Essential Question: What is function notation and what is it used for?
Learning Target: Students will be able to use function notation to evaluate functions that represent real-world functions.
Complete the entire assignment and show work for full credit.
Essential Question: What is function notation and what is it used for?
Learning Target: Students will be able to use function notation to evaluate functions that represent real-world functions.
Complete the entire assignment and show work for full credit.
Day 1 10/2/23
Throughout mathematics, we find function notation. Function notation is a way to write functions that is easy to read and understand. Functions have dependent and independent variables, and when we use function notation the independent variable is commonly x, and the dependent variable is f(x).
Required
30 points
30
Question 1
1.
Complete the following notes regarding how to use function notation.
Required
10 points
10
Question 2
2.
Evaluate each function for the given value.
Required
10 points
10
Question 3
3.
Evaluate each function for the given value.
Required
10 points
10
Question 4
4.
Evaluate each function for the given value.
Required
10 points
10
Question 5
5.
Evaluate each function for the given value.
Required
10 points
10
Question 6
6.
Evaluate each function for the given value.
For questions 8-11, use the functions to the left.
Required
10 points
10
Question 7
7.
Evaluate each function for the given value.
Required
10 points
10
Question 8
8.
Evaluate each function for the given value.
Required
10 points
10
Question 9
9.
Evaluate each function for the given value.
Required
10 points
10
Question 10
10.
Evaluate each function for the given value.
Required
10 points
10
Question 11
11.
Anthropologists use the length of certain bones of the human skeleton to estimate the height of the living person. One of these bones is the femur. To estimate the height in centimeters of a female with a femur length of x, the function h(x) = 61.41 + 2.32x can be used. If a 46 cm femur bone is discovered at a dig site, using the height function, estimate how tall the person was that bone belonged to.
Spiral Review
Required
8 points
8
Question 12
12.
Categorize each representation of a relation on the left based on its type.
\{(3,-9),(11,21),(121,34),(34,1)\}
Ordered Pairs
Mapping Diagram
Table of Values
Graph
Required
12 points
12
Question 13
13.
Classify each item on the left based on whether it describes the domain or range of a relation.
The x-values of a relation (usually)
The output values of a relation
The y-values of a relation (usually)
Represented on the vertical axis of a coordinate plane
Represented on the horizontal axis of a coordinate plane
The input values of a relation
Domain
Range
Required
20 points
20
Question 14
14.
Directions: Complete each function table, then graph the function.
Required
20 points
20
Question 15
15.
Directions: Complete each function table, then graph the function.
Day 2 10/3/23
Spiral Review
Required
10 points
10
Question 16
16.
Drag the values from the left to identify the domain and range of the relation.
Represent the relation with a mapping diagram. Remember to label the domain and range in your diagram.
Required
6 points
6
Question 18
18.
Vocabulary Review: A function is a relationship that pairs each input value with exactly one output value. Categorize each relationship.
Relation A
Relation C
Relation B
Function
Not a function
2 points
2
Question 19
19.
What is f(2) for the function f(x) = 4x + 1?
Required
10 points
10
Question 20
20.
Use the function w(x) = 250x, which represents the average number of words a person can read in one minute to determine many words the average person can read in 6 minutes. Enter only a number.
Required
20 points
20
Question 21
21.
Graph the function rule.
The amount of water w in a wading pool, in gallons, depends on the amount of time t, in minutes, the wading pool has been filling, as related by the function rule w = 3t.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
Spiral Review
Required
5 points
5
Question 22
22.
Translate this expression.
“eighteen less than a number”
Required
5 points
5
Question 23
23.
Translate this expression.
“the difference of a number and 4"
Required
8 points
8
Question 24
24.
Which words or phrases have the same meaning as addition?
Required
8 points
8
Question 25
25.
Which words or phrases have the same meaning as subtraction?
Required
8 points
8
Question 26
26.
Which words or phrases have the same meaning as division?
Required
8 points
8
Question 27
27.
Which words or phrases have the same meaning as multiplication?
Required
10 points
10
Question 28
28.
Directions: Give the perimeter of each figure as a simplified expression.
Required
10 points
10
Question 29
29.
Directions: Give the perimeter of each figure as a simplified expression.
Required
5 points
5
Question 30
30.
Evaluate each expression using the variable replacements.
Evaluating Expressions
Required
10 points
10
Question 31
31.
Evaluate each expression using the variable replacements.
Required
8 points
8
Question 32
32.
Match the operation with its inverse.
Draggable item
arrow_right_alt
Corresponding Item
inverse of addition
arrow_right_alt
subtraction
inverse of multiplication
arrow_right_alt
addition
inverse of division
arrow_right_alt
division
inverse of subtraction
arrow_right_alt
multiplication
Required
6 points
6
Question 33
33.
To solve an equation we need to undo operations to isolate a variable.So, we need toundoPEMDAS. This means we need to work in a different order.
Put these operations in the order by which you perform them to solve an equation. (first to last)
addition and subtraction (outside parentheses)
multiplication and division
parentheses ( )
Required
4 points
4
Question 34
34.
Put the steps to solving this equation in the right order.
Before we start solving, we identify the variable a, so we can solve for it the variable
the result is x=7
add 7 to both sides of the equation
divide both sides of the equation by 3
Required
10 points
10
Question 35
35.
Solve this equation.
Required
10 points
10
Question 36
36.
Put the steps in the correct order to solve this multistep equation.
undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
Use distribution to multiply (7a+5) by -4 to get -28a - 20
undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
The solution is a = 5
Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160
Required
10 points
10
Question 37
37.
Solve this multi-step equation. Show your work (SYW)
Required
10 points
10
Question 38
38.
Solve this equation
Required
10 points
10
Question 39
39.
Solve each proportion. Show your work! Or suffer the consequences...
Required
10 points
10
Question 40
40.
Solve and graph the inequality for the given variable.
