Question

What function is represented in the table?

a. y = .5 (2*)
b. y = 4 (.5*)
c. y = .5 (4*)
d. y = 2 (.5*)

Answer 1

Answer:

c

Step-by-step explanation:

an exponential function of the form

y = a$b^{x}$

to find a and b use ordered pairs from the table

using (0, 0.5 ) , then

0.5 = a$b^{0}$ [ $b^{0}$ = 1 ] , then

a = 0.5

so y = 0.5$b^{x}$

using (1, 2 ) , then

2 = 0.5$b^{1}$ = 0.5b ( divide both sides by 0.5 )

4 = b

then exponential function represented by the table is

y = 0.5 $(4)^{x}$