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2.2 Function Application (Due 10/6/23 SoC)

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Last updated about 1 year ago
40 questions
Note from the author:
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.
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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).

Question 1
1.

Complete the following notes regarding how to use function notation.

Question 2
2.

Evaluate each function for the given value.

Question 3
3.

Evaluate each function for the given value.

Question 4
4.

Evaluate each function for the given value.

Question 5
5.

Evaluate each function for the given value.

Question 6
6.

Evaluate each function for the given value.

For questions 8-11, use the functions to the left.

Required
10
Question 7
7.

Evaluate each function for the given value.

Required
10
Required
10
Required
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

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
Question 13
13.

Classify each item on the left based on whether it describes the domain or range of a relation.

  • The output values of a relation
  • The input values of a relation
  • The y-values of a relation (usually)
  • Represented on the horizontal axis of a coordinate plane
  • Represented on the vertical axis of a coordinate plane
  • The x-values of a relation (usually)
  • Domain
  • Range
Question 14
14.

Directions: Complete each function table, then graph the function.


Question 15
15.

Directions: Complete each function table, then graph the function.


Day 2 10/3/23

Spiral Review

Question 16
16.

Drag the values from the left to identify the domain and range of the relation.
Place each value only once.

  • -1
  • 7
  • -4
  • 4
  • -7
  • -2
  • 1
  • 2
  • Domain
  • Range
Question 17
17.

Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Represent the relation with a mapping diagram. Remember to label the domain and range in your diagram.

Question 18
18.

Vocabulary Review: A function is a relationship that pairs each input value with exactly one output value. Categorize each relationship.

  • Relation B
  • Relation C
  • Relation A
  • Function
  • Not a function
Question 19
19.

What is f(2) for the function f(x) = 4x + 1?


Required
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.


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

Question 22
22.

Translate this expression.

“eighteen less than a number”

Question 23
23.

Translate this expression.

“the difference of a number and 4"

Question 24
24.

Which words or phrases have the same meaning as addition?

Question 25
25.

Which words or phrases have the same meaning as subtraction?

Question 26
26.

Which words or phrases have the same meaning as division?

Question 27
27.

Which words or phrases have the same meaning as multiplication?

Question 28
28.

Directions: Give the perimeter of each figure as a simplified expression.

Question 29
29.

Directions: Give the perimeter of each figure as a simplified expression.

Question 30
30.

Evaluate each expression using the variable replacements.


Evaluating Expressions

Question 31
31.

Evaluate each expression using the variable replacements.


Question 32
32.

Match the operation with its inverse.

Draggable itemarrow_right_altCorresponding Item
inverse of division
arrow_right_alt
subtraction
inverse of multiplication
arrow_right_alt
addition
inverse of subtraction
arrow_right_alt
division
inverse of addition
arrow_right_alt
multiplication
Question 33
33.

To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. 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)

  1. multiplication and division
  2. parentheses ( )
  3. addition and subtraction (outside parentheses)
Question 34
34.

Put the steps to solving this equation in the right order.

  1. divide both sides of the equation by 3
  2. add 7 to both sides of the equation
  3. the result is x=7
  4. Before we start solving, we identify the variable a, so we can solve for it the variable
Question 35
35.

Solve this equation.


Question 36
36.

Put the steps in the correct order to solve this multistep equation.


  1. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
  2. Use distribution to multiply (7a+5) by -4 to get -28a - 20
  3. Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160
  4. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
  5. The solution is a = 5
Question 37
37.

Solve this multi-step equation. Show your work (SYW)

Question 38
38.

Solve this equation

Question 39
39.

Solve each proportion. Show your work! Or suffer the consequences...


Question 40
40.

Solve and graph the inequality for the given variable.

Day 3 10/4/22

Arithmetic Sequences

Question 8
8.

Evaluate each function for the given value.

Question 9
9.

Evaluate each function for the given value.

Question 10
10.

Evaluate each function for the given value.