Start off with a chart (you don't really need to but it helps)
Piano lessons 5,10,15,20,25,30
Cooking Classes 6,12,18,24,30
every 30 days, you have both lessons so you will have them on the 60th day
Given that 
And 
Comparing both functions we see that g(x) is 3 times more than f(x) so we can write:
g(x)=3 f(x)
Now using g(x)=3 f(x), we have to tell what type of transformation occurs from f(x) to g(x).
Remember that when some number is multiplied with f(x) then that either compresses or stretches the given function.
when multiplied number is greater than 1 the it creates stretch.
in g(x)=3 f(x), we see that multiplied number 3 is more than 1 so that indicates stretch.
Hence choice D) g(x) stretches vertically by factor of 3. is correct.
Answer:
D.
Step-by-step explanation:
All the y values for f(x) are less than -1 and go upto infinity.
Answer:
Not geometric
Step-by-step explanation:
In a geometric sequence, each term is multiplied by a common ratio to get the next term.
So if this is a geometric sequence, then dividing each term by the one before it should result in the same common ratio.
42 / 21 = 2
126 / 42 = 3
504 / 126 = 4
The ratios are different. This is not a geometric sequence.