Question

Larry is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Larry's inputs and the corresponding outputs displayed by the calculator. (1, 5), (2, 9), (3, 13), (4, 17) Which of the following functions best represents the rule that the calculator uses to display the outputs? f(n) = 5n - 1 f(n) = 5n + 1 f(n) = 4n + 1 f(n) = 4n - 1

Answer 1

for each increase of 1 in the x value, the y value changes by how much?

Answer 2

4

Answer 3

good,
so we know that 4 has to be in the answer equation. so that leaves us with
f(n) = 4n + 1 or
f(n) = 4n - 1

Answer 4

a quick way to see which equation it is would be to plug in an ordered pair into the each of the 2 equations and see which equation is true

Answer 5

f(n) = 4n + 1

Answer 6

is it that one

Answer 7

f(n) = 4n + 1
with ordered pair, (2, 9)
9 = 4(2) + 1 [TRUE]

yep ^_^

Answer 8

thank you can u help me with another one

Answer 9

yea, post it up

Answer 10

The function f(x) is shown below.

f(x) = (2)x+1

The function f(x) is shifted to the left by 13 units. Which of the following best represents the new function?

f(x) = (2)x + 13

f(x) = (2)x + 14

f(x) = (2)x -12

f(x) = (2)x - 13

Answer 11

make sense so far?

Answer 12

no

Answer 13

so you recognize the x-y graph?

Answer 14

ya

Answer 15

does the function f(x)=2x+1 make sense?

Answer 16

kind've

Answer 17

we have 2x+1

so the number that is always attached with the 'x' will be the slope.
so the slope is 2

the other number left is +1, the 1 is the y-intercept, so at +1 is where the line will cross the y-axis

Answer 18

ok

Answer 19

so the question tells us that the line is moved to the left by 13, so I drew a new line representing that new line. and I drew that arow with th 13 over it to represent it moving to the left 13 units.