The first-, second-, and third-year enrollment values for a technical school are shown in the table below.

Enrollment at a Technical School
Year (x) First Year f(x) Second Year s(x) Third Year t(x)
2009 785 756 756
2010 740 785 740
2011 690 710 781
2012 732 732 710
2013 781 755 800

Which of the following statements is true based on the data in the table?
The solution to f(x) = s(x) is x = 2,012.
The solution to f(x) = s(x) is x = 732.
The solution to s(x) = t(x) is x = 2,011.
The solution to s(x) = t(x) is x = 710.

Question

The first-, second-, and third-year enrollment values for a technical school are shown in the table below.


Enrollment at a Technical School
Year (x)	First Year f(x)	Second Year s(x)	Third Year t(x)
2009	785	756	756
2010	740	785	740
2011	690	710	781
2012	732	732	710
2013	781	755	800


Which of the following statements is true based on the data in the table?
 The solution to f(x) = s(x) is x = 2,012.
 The solution to f(x) = s(x) is x = 732.
 The solution to s(x) = t(x) is x = 2,011.
 The solution to s(x) = t(x) is x = 710.

help_people · Answer

A graph of 2 functions is shown below.

graph of function f of x equals 2 multiplied by x plus 1 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2

Which of the following is an approximate solution for f(x) = g(x)?

 x = −2
 x = 0
 x = −1
 x = 1

help_people · Answer

@welshfella

welshfella · Answer

for the 2nd question i can't be sure how to write it Have you got a picture of the question?

help_people · Answer

yes :) (a graph ) hold on a sec let me get it

help_people · Answer

attachment

welshfella · Answer

look at the graph The solution to f(x) = g(x) are where the graph intersect  each other
There is one of them which is equal to one of the options. Can you pick it out?  Look at the 3 intersections and note the values of  x.

help_people · Answer

they intersect at -1 on the x axis?

help_people · Answer

the graph not they

welshfella · Answer

yes that's right  x = -1 is the answer

help_people · Answer

it also intersects betweenn -5.5 and -2.75 and 5.5 and 2.75 @welshfella

welshfella · Answer

its not exactly at x = -1 but very close . The question only asked for an approximate value.

help_people · Answer

ok :)

welshfella · Answer

yes but x=-1 is the only one that's in the choices.

help_people · Answer

ok perfect! could we do the other question now?

welshfella · Answer

I don't understand it.   It talks about functions but gives no details.

help_people · Answer

it asks what is true about the data ?

help_people · Answer

in the table are you sure you cannot help ?

welshfella · Answer

the only thing I can see is for year 2012  f(x) = s(x)  ( both are = to 732)

so A

welshfella · Answer

yea  thats what it is.

help_people · Answer

ok i have 2 more and i did them i just want to make sure they are correct?

welshfella · Answer

sorry I have to go now