What You Need To Know...
Functions, function notation, determine whether a given relation is a function, and link equations to functions.
- The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
- Items may use a variety of forms, including graphs, tables, sets of points, or equations.
- Items may ask to determine the equation of a function.
- Items may use function notation.
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?
- (-4, -3)
- (-2, 1)
- (0, 0)
- (2, -2)
The function shown below is used to convert a temperature, x, in degrees Fahrenheit (°F), to a temperature, f(x), in degrees
Micah wanted to convert today's high temperature of 77°F to °C. What is today's high temperature in °C?
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?
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)|
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