Question

The table shows a linear function

(a) Determine the difference of outputs of any two inputs that are 1 unit apart. Show your work.

(b) Determine the difference of outputs of any two inputs that are 2 units apart. Show your work.

(c) Determine the difference of outputs of any two inputs that are 3 units apart. Show your work.

(d) What do you notice about the ratios of the differences in the outputs to the inputs intervals? Explain your answer.

Answer:

Answer 1

@Vocaloid

Answer 2

@Zepdrix Hey, if your there, can you hep this person out?

Answer 3

in the table, x is your "input" and f(x) is your "output". this is a linear function because there is a common difference in outputs per difference in input

since the inputs are increasing by 1 unit, the "difference of outputs of any two inputs that are 1 unit apart" is the difference between two values of f(x) that are next to each other

Answer 4

for outputs of two units apart, simply select two f(x) values that are two input units apart, like so:

Answer 5

and so on and so forth for the third answer question

Answer 6

for "the ratio of the differences in the outputs to the input intervals" simply divide (distance between outputs)/(distance between inputs) for each of the results from a-c

Answer 7

in the future please do not message people on my behalf. if I am not responding please assume I am occupied. Fridays are especially bad for me because I have class from 8am to 6pm.