Question

determine whether the set of data in the table below displays exponential behavior.

x	-3	-2	-1	0
y	9	12	15	18

choose the correct words or phrases to complete the statements.

• does the set of data display exponential behavior? select choice
• the domain values are at select choice intervals.
• the range values have a common select choice that is select choice.

Explanation:

Step1: Check domain intervals

Calculate differences of x-values:
$(-2)-(-3)=1$, $(-1)-(-2)=1$, $0-(-1)=1$

Step2: Check range patterns

Calculate differences of y-values:
$12-9=3$, $15-12=3$, $18-15=3$
Calculate ratios of y-values:
$\frac{12}{9}=\frac{4}{3}$, $\frac{15}{12}=\frac{5}{4}$, $\frac{18}{15}=\frac{6}{5}$

Step3: Identify data behavior

Exponential data has constant ratios, linear has constant differences.

Answer:

• Does the set of data display exponential behavior? No
• The domain values are at equal intervals.
• The range values have a common difference that is 3.