Find the equation of the exponential function represented by the table below:
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y = 4

Step-by-step explanation:

For an exponential function in the form

y = a

Use ordered pairs from the table to find values of a and b

Using (0, 4 ), then

4 = a ( = 1 ), thus

a = 4, so

y = 4

Using (1, 2 ) , then

2 = 4 = 4b ( divide both sides by 4 )

b =

Thus exponential function is

y = 4

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.