anonymous
  • anonymous
help please The table shows the outputs y for different inputs x: Input (x) 5 6 7 8 Output (y) 2 5 8 11 Part A: Do the data in this table represent a function? Justify your answer. Part B: Compare the data in the table with the relation f(x) = 2x + 13. Which relation has a greater value when x = 7? Part C: Using the relation in Part B, what is the value of x if f(x) = 75?
Mathematics
schrodinger
  • schrodinger
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UnkleRhaukus
  • UnkleRhaukus
if each x, maps to only one y value, it can be a function
UnkleRhaukus
  • UnkleRhaukus
eg Input (x) 1 1 2 3 Output (y) 2 5 8 11 is not a function, because x = 1, gives two y values: 2 and 5
UnkleRhaukus
  • UnkleRhaukus
@Mr.kole does your table, have and x input, giving multiple y values?

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anonymous
  • anonymous
yh
UnkleRhaukus
  • UnkleRhaukus
pardon?
UnkleRhaukus
  • UnkleRhaukus
does any x input, give multiple y values?
anonymous
  • anonymous
no
UnkleRhaukus
  • UnkleRhaukus
so can it be a function ?
anonymous
  • anonymous
yh
UnkleRhaukus
  • UnkleRhaukus
yes.
UnkleRhaukus
  • UnkleRhaukus
now B What is the value in the table, that relates to x = 7
anonymous
  • anonymous
hey i not reall good with algebra so please have mercy
anonymous
  • anonymous
really
UnkleRhaukus
  • UnkleRhaukus
nope, what is y, when x is 7 use the table
anonymous
  • anonymous
8
UnkleRhaukus
  • UnkleRhaukus
x=7 Input | (x) 5 6 7 8 Output | (y) 2 5 8 11 | y=8 yes!
UnkleRhaukus
  • UnkleRhaukus
now what is f(x) = 2x + 13. when x = 7 ie f(7) = 2(7) + 13. = =
UnkleRhaukus
  • UnkleRhaukus
2 times 7 plus 13 equals ?
anonymous
  • anonymous
noooo
UnkleRhaukus
  • UnkleRhaukus
f(7) = 2(7) + 13. = 14 +13 =
anonymous
  • anonymous
27
UnkleRhaukus
  • UnkleRhaukus
So Which relation has a greater value when x = 7?
anonymous
  • anonymous
y
UnkleRhaukus
  • UnkleRhaukus
when x= 7: y = 8 and f = 27 which is greater
anonymous
  • anonymous
f
UnkleRhaukus
  • UnkleRhaukus
it's f
UnkleRhaukus
  • UnkleRhaukus
right?
UnkleRhaukus
  • UnkleRhaukus
now for C
UnkleRhaukus
  • UnkleRhaukus
it asks, for which x, is f(x) = 2x + 13 = 75
UnkleRhaukus
  • UnkleRhaukus
so solve 2x+13 = 75 for x
anonymous
  • anonymous
yh
anonymous
  • anonymous
31
UnkleRhaukus
  • UnkleRhaukus
done!
anonymous
  • anonymous
thanks

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