DOK 1 Practice

Build quick fluency with growth, decay, initial values, and repeated factors.

These questions stay direct so students can recognize exponential structure from equations, tables, graphs, and contexts.

How to use this set

Look for multiplication first. If outputs multiply by the same factor, the pattern is exponential. If outputs add the same amount, the pattern is linear.

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Set Focus

Foundational exponential skills

DOK 1 questions reward fast recognition of initial value, growth factor, decay factor, and model type.

Tables

Use equal factors to identify exponential patterns.

Equations

Read initial value and growth or decay factor from y = a(b)^x.

Contexts

Translate starts with, doubles, triples, and keeps a fraction into a model.

Comparisons

Separate linear equal-difference patterns from exponential equal-factor patterns.

Practice Questions

Growth, Decay, and Model Recognition

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

Question 1

Constant factor

Each choice lists y-values for x = 0, 1, 2, and 3. Which table shows an exponential pattern?

Y-values by choice

Choice	x = 0	x = 1	x = 2	x = 3
Table A	4	7	10	13
Table B	5	10	20	40
Table C	2	4	6	8
Table D	9	8	7	6

Question 2

Initial value

For f(x) = 3(2)^x, what is the initial value?

Question 3

Growth factor

For y = 8(1.5)^x, what is the growth factor?

Question 4

Growth or decay

Does g(x)=120(0.75)^x represent exponential growth or exponential decay?

Question 5

Linear vs exponential

Table A has y-values 6, 10, 14, 18. Table B has y-values 6, 12, 24, 48. Which statement is true?

Question 6

Equation from context

A bacteria sample starts with 50 cells and doubles every hour. Which equation models the number of cells after h hours?

Question 7

Decay context

A phone battery has 80% charge and keeps \frac{3}{4} of its charge each hour. Which expression represents the charge after t hours?

Question 8

Table interpretation

Use the table to identify the exponential factor.

Exponential table

x	0	1	2	3
y	7	21	63	189

Question 9

Graph recognition

The marked points show (0,2), (1,4), (2,8), and (3,16). What type of pattern do they suggest?

Points from a growth pattern

Question 10

Function notation

If f(x)=4(3)^x, what is f(2)?

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