On a Cartesian Plane, sketch the graph of the function f (x) = x. Then, answer...

 

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On a Cartesian Plane, sketch the graph of the function f (x) = x. Then, answer the items that follow. a. Describe the graph of f. b. Use the graph to evaluate each. lim f(x) = lim f(x) = x-1 x--3 (x) : lim f (x) lim f(x) lim x--1.5 lim f(x) x-0 c. What do you observe about the c-value and the limit off as x approaches that value? d. What inference about limit of an identity function can be made on this observation? After you respond, check if your inference is correct. Go to THE LIMIT LAWS > LIMIT OF AN IDENTITY. Limit of an Identity/ Limit of x The limit of x as x approaches c is c. lim x = c for any value of c Examples: lim x = 3 x-3 lim x = -1 x--1 lim x = 0 x-0 On a Cartesian Plane, sketch the graph of the function f (x) = x. Then, answer the items that follow. a. Describe the graph of f. b. Use the graph to evaluate each. lim f(x) = lim f(x) = x-1 x--3 (x) : lim f (x) lim f(x) lim x--1.5 lim f(x) x-0 c. What do you observe about the c-value and the limit off as x approaches that value? d. What inference about limit of an identity function can be made on this observation? After you respond, check if your inference is correct. Go to THE LIMIT LAWS > LIMIT OF AN IDENTITY. Limit of an Identity/ Limit of x The limit of x as x approaches c is c. lim x = c for any value of c Examples: lim x = 3 x-3 lim x = -1 x--1 lim x = 0 x-0