Question

Let f(x) be defined below. f(x) = { 1 if x < 1 x 2 if...

Let f(x) be defined below.

f(x) = { 1 if x < 1 x 2 if 1 < x ≤ 2 x + 1 if x > 2

Find limx→1+ f(x), limx→1− f(x), limx→1f(x), f(1) and limx→2f(x)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Let f be the function defined by f(x) = x 2 on the positive real...
1. Let f be the function defined by f(x) = x 2 on the positive real numbers. Find the equation of the line tangent to the graph of f at the point (3, 9). 2. Graph the reflection of the graph of f and the line tangent to the graph of f at the point (3, 9) about the line y = x. I really need help on number 2!!!! It's urgent!
Let f : R → R + be defined by the formula f(x) = 10^2−x ....
Let f : R → R + be defined by the formula f(x) = 10^2−x . Show that f is injective and surjective, and find the formula for f −1 (x). Suppose f : A → B and g : B → A. Prove that if f is injective and f ◦ g = iB, then g = f −1 .
Let the function f and g be defined as f(x) = x/ x − 1 and...
Let the function f and g be defined as f(x) = x/ x − 1 and g(x) = 2 /x +1 . Compute the sum (f + g)(x) and the quotient (f/g)(x) in simplest form and describe their domains. (f + g )(x) = Domain of (f+g)(x): (f/g)(x) = Domain of (f/g)(x):
Let f: Z→Z be the functon defined by f(x)=x+1. Prove that f is a permutation of...
Let f: Z→Z be the functon defined by f(x)=x+1. Prove that f is a permutation of the set of integers. Let g be the permutation (1 2 4 8 16 32). Compute fgf−1.
Let f : R − {−1} →R be defined by f(x)=2x/(x+1). (a)Prove that f is injective....
Let f : R − {−1} →R be defined by f(x)=2x/(x+1). (a)Prove that f is injective. (b)Show that f is not surjective.
Let the function f be defined as f(x) = x 2 − x + 30, where...
Let the function f be defined as f(x) = x 2 − x + 30, where x is the number of widgets (in thousands) produced and f(x) is the amount (in dollars) of revenue for your company. (a) Find the average rate of change of f between x = 3 and x = 4. Give units for your answer. (b) Graph the function, the points, and the secant line between them. (c) Explain in your own words what the meaning...
Let f: [0, 1] --> R be defined by f(x) := x. Show that f is...
Let f: [0, 1] --> R be defined by f(x) := x. Show that f is in Riemann integration interval [0, 1] and compute the integral from 0 to 1 of the function f using both the definition of the integral and Riemann (Darboux) sums.
a.)Consider the function f (x) = 3x/ x^2 +1 i) Evaluate f (x+1), and f (x)+1....
a.)Consider the function f (x) = 3x/ x^2 +1 i) Evaluate f (x+1), and f (x)+1. Explain the difference. Do the same for f (2x) and 2f (x). ii) Sketch y = f (x) on the interval [−2, 2]. iii) Solve the equations f (x) = 1.2 and f (x) = 2. In each case, if a solution does not exist, explain. iv) What is the domain of f (x)? b.)Let f (x) = √x −1 and g (x) =...
Let f(x)=e^x −x −1 be defined on (−∞,∞). Find a real number a so that a...
Let f(x)=e^x −x −1 be defined on (−∞,∞). Find a real number a so that a is a root of f,that is f(a)=0. Using the Mean Value Theorem, show that there is no other root of f, i.e., show that if there is a real number b so that f(b) = 0, then a = b.
Let f : [0,∞) → [0,∞) be defined by, f(x) := √ x for all x...
Let f : [0,∞) → [0,∞) be defined by, f(x) := √ x for all x ∈ [0,∞), g : [0,∞) → R be defined by, g(x) := √ x for all x ∈ [0,∞) and h : [0,∞) → [0,∞) be defined by h(x) := x 2 for each x ∈ [0,∞). For each of the following (i) state whether the function is defined - if it is then; (ii) state its domain; (iii) state its codomain; (iv) state...