1.     The table shows a linear function.x-5-4-3-2-10123----------------------f (x)-11-53132129374553 (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 input intervals? Explain your answer.

Answer:a) I used the equation x=-5; f(x)=-11 and x=-4; f(x)=-3. We get the range = -3-(-11)=8 b) I used the equation x=-5; f(x)=-11 and x=-3; f(x)=5. We get the range = 5-(-11)=16 c) I used the equation x=-5; f(x)=-11 and x=-2; f(x)=13. We get the range = 13-(-11)=24 d) Range of input is equal with the ratios of the output. You can find the pattern of output above 8,16,and 24 can divided by 8 and give the result 1,2 and 3