All Calendars Athletic District Calendar Events School Calendar 2017-2018 Graduation Dates 2017-2018 School Calendar 2018-2019 School Calendar 2019-2020 School Calendar 2020-2021 School Calendar 2021-2022 School Calendar 2022-2023 Uniform Statewide Assessment Calendar Work Calendar
Contacts Directory Accounting Operations Affirmative Action Alternative Education Athletics Behavior Education Support Team (BEST) Budgeting Certification Community Involvement Office Continuous Improvement Court Liaison Curriculum and Instruction Driver's Education Elementary Education Energy Management English Language Arts Escambia County Public Schools Foundation ESOL Evaluation Services Exceptional Student Education Facilities Planning FDLRS Finance and Business Services Fine Arts FOCUS Student Information System Food Services General Counsel Guidance Services Health Services High School Education Human Resource Services Information Technology Internal Auditing Maintenance and Custodial Services Math MediaServices Middle School Education New Facility Name Submissions Operations Payroll & Benefits Accounting PBIS Physical Education Professional Learning Protection Services Psychological Services Public Relations Purchasing Department Risk Management & Benefits Roy Hyatt Environmental Center SAZAC School Choice School Records School Social Workers Science_ECSD Social Studies Student Services Title I Transportation Warehouse Wellness Workforce Education Teaching Employment Opportunities Department Sub Folder Staff Forms
School Listing Page Elementary Schools Middle Schools High Schools Alternative Schools Virtual Academy School Listing with Contact Info Bus Transportation Info Enroll in a School Find Your School
School Board
AeSOP Board Meeting Information Bus Transportation Committees ECSD Meeting Info GroupWise Email Employee Pay Stub - Skyward Employment Information Financial Information Find Your School Focus Free & Reduced Meal Application Meal Payments My Links Risk Management & Benefits School Choice Information School Violence Staff Students Student of the Month Vendors Student Online Registration Teacher Resources Page TrueNorthLogic

MA.912.A.2.3 Functions

What You Need To Know...

Functions, function notation, determine whether a given relation is a function, and link equations to functions.

  1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
  2. Items may use a variety of forms, including graphs, tables, sets of points, or equations.
  3. Items may ask to determine the equation of a function.
  4. Items may use function notation.  

Example One

Andrew plotted a set of points on the coordinate grid shown below.  All of the points have integer coefficients.



Which of the following points could be removed so that Andrew's graph represents a function?

  1. (-4, -3)
  2. (-2, 1)
  3. (0, 0)
  4. (2, -2)


Example Two

The function shown below is used to convert a temperature, x, in degrees Fahrenheit (°F), to a temperature, f(x), in degrees
Celsius (°C).


Micah wanted to convert today's high temperature of 77°F to °C.  What is today's high temperature in °C?




Example Three

For one child, a childcare facility charges $300 per month for preschool and $3.50 per hour for each hour of childcare after preschool.  The function below can be used to determine f(h), the monthly fee for childcare and preschool, where h represents the number of hours spent in childcare after preschool.

f(h) = 300 + 3.5h

If the one-month charges for one child totaled $637.75, what was the total number of hours the child spent in childcare after preschool?

Answer grid.jpg




Example Four

As a diver swims deeper underwater, the water pressure in pounds per square inch (PSI) increases on the diver.  The table below shows the pressure in PSI for several depths of water.


Depth (in feet)  Pressure (in PSI)
 10  4.3
 20  8.6
 30  12.9
 40  17.2
 50  21.5

Which equation represents p, the water pressure in square inches, as a function of d, the depth in feet?

A.  p =   4.3d
B.  p =   0.43d
C.  p = 23.3d
D.  p =   2.33d



Additional Examples


Function Notation

This text will be replaced

Relations & Functions

This text will be replaced

Vertical Line Test

This text will be replaced

Equations from Functions

This text will be replaced

Reference Sheet