DOK 2 Practice

Apply function ideas across tables, graphs, equations, and contexts.

This set asks students to interpret notation in context, compare values, and read features from multiple representations.

How to use this set

Keep the representation organized. Tables show rows, equations show structure, and graphs show shape.

Applied function interpretation

DOK 2 questions usually require connecting a feature to a representation or context.

Context

Explain what inputs and outputs mean in real situations.

Tables

Read function values, intervals, domain, and range.

Comparison

Compare the same feature across two functions.

Families

Identify linear, quadratic, and exponential patterns.

Applications and Representation Switching

Check your answer first, then reveal the explanation when you want the model.

Question 1

Evaluate in context

A gym charges C(m)=25m+40, where m is the number of months. What does C(6)=190 mean?

Question 2

Table evaluation

Use the table to find f(3).

Function f

xf(x)
02
15
28
311

Question 3

Compare outputs

Function A is A(x)=3x+4. Function B is shown in the table. Which function has the greater value at x=4?

Function B

xB(x)
18
210
312
414

Question 4

Domain in context

A movie ticket function T(n)=12n gives the cost for n tickets. Which domain makes the most sense?

Question 5

Range from graph

The plotted points show a function. What is the range?

Plotted function values

Question 6

Increasing interval

The table shows part of a function. On which interval is the function increasing?

Function values

xf(x)
-29
-14
01
14
29

Question 7

Compare rates

Function A is A(x)=5x+2. Function B has values (0,2), (1,9), and (2,16). Which function has the greater rate of change?

Question 8

Family from table

Which description best matches the table?

Function values

xy
03
16
212
324

Question 9

Maximum in context

A ball's height is modeled by h(t)=-(t-3)^2+20. What does the maximum value mean?

Question 10

End behavior

Which statement describes the end behavior of f(x)=2x+1?