Question

(5) What is wrong with ?: ℝ+ → ℤ + with ?(?) = ⌊?⌋?

(5) What is wrong with ?: ℝ+ → ℤ + with ?(?) = ⌊?⌋?

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
Let ?: ℝ → ℤ be defined as ?(?) = ⌊?⌋. a.) Is f one-to-one? b.)Is...
Let ?: ℝ → ℤ be defined as ?(?) = ⌊?⌋. a.) Is f one-to-one? b.)Is f onto? c.) Is f a bijection? d.)How would your answers change if ℝ is changed to ℤ?
The domain and range might not always be ℝ, so for this set we’re going to...
The domain and range might not always be ℝ, so for this set we’re going to look at functions with more interesting domain and codomain. Which of these are onto? 1. ?:ℤ → ℤ10 defined by ?(?) = ? mod 10. 2. ?:ℤ10 → ℤ defined by ?(?) = ?. 3. ?:ℤ20 → ℤ10 defined by ?(?) = ? mod 10. 4. ?:ℤ10 → ℤ20 defined by ?(?) = 2? mod 20.
Consider the following functions from ℤ × ℤ → ℤ. Which functions are onto? Justify your...
Consider the following functions from ℤ × ℤ → ℤ. Which functions are onto? Justify your answer by proving the function is onto or providing a counterexample and explaining why it is a counterexample. (a) f(x,y) = xy + 3 (b) f(x,y) = |xy| + 10 (c) f(x,y) = ⌊(x+y)/5⌋
1. Use the roster method to describe the elements of the following set. x∈ℤ||x−3|<12 and x...
1. Use the roster method to describe the elements of the following set. x∈ℤ||x−3|<12 and x is a multiple of 3 2. Use the roster method to describe the elements of the following set. {n∈ℕ∣∣∣1n+6⩾6272 and n is a multiple of 5} 3. Determine the cardinality of the following sets. {x∈ℤ|−4⩽x⩽3}: {x∈ℕ|−4⩽x⩽3}: 4. Evaluate the following expressions. [Hint: start by factoring the polynomial.] ∣∣{x∈ℚ∣∣18x3+69x2+56x=0}∣∣= ∣∣{x∈(0,∞)∣∣18x3+69x2+56x=0}∣∣= ∣∣{x∈ℤ∣∣18x3+69x2+56x=0}∣∣= 5.  Evaluate the following expressions. [Hint: start by factoring the polynomial.] ∣∣{x∈ℝ∣∣x4+11x2+28=0}∣∣= ∣∣{x∈ℚ∣∣x4+11x2+28=0}∣∣= ∣∣{x∈ℕ∣∣x4+11x2+28=0}∣∣= 6....
Verify Axioms 5, 6, 7 and 8 on the vector space example ℝ? for any ?...
Verify Axioms 5, 6, 7 and 8 on the vector space example ℝ? for any ? ≥ 1.
#5. Evaluate ∫e^a(theta) sin(b(theta)) d(theta) where a,b ∈ℝ
#5. Evaluate ∫e^a(theta) sin(b(theta)) d(theta) where a,b ∈ℝ
Consider ℝ with the standard topology and the map f : ℝ → {–1, 0, 1}...
Consider ℝ with the standard topology and the map f : ℝ → {–1, 0, 1} defined by: f(x) = {–1 when x > 10; 0 when –10 ≤ x ≤ 10; and 1 when x < –10}. Select each and every set that is an open sets in the quotient topology on {–1, 0, 1} (there are 3 out of 5). A. {–1,0,1} B. {0} C. {0,1} D. {–1} E. {–1,1} This is all that I have. This question...
Let B = { f: ℝ  → ℝ | f is continuous } be the ring of...
Let B = { f: ℝ  → ℝ | f is continuous } be the ring of all continuous functions from the real numbers to the real numbers. Let a be any real number and define the following function: Φa:B→R f(x)↦f(a) It is called the evaluation homomorphism. (a) Prove that the evaluation homomorphism is a ring homomorphism (b) Describe the image of the evaluation homomorphism. (c) Describe the kernel of the evaluation homomorphism. (d) What does the First Isomorphism Theorem for...
Determine the distance equivalence classes for the relation R is defined on ℤ by a R...
Determine the distance equivalence classes for the relation R is defined on ℤ by a R b if |a - 2| = |b - 2|. I had to prove it was an equivalence relation as well, but that part was not hard. Just want to know if the logic and presentation is sound for the last part: 8.48) A relation R is defined on ℤ by a R b if |a - 2| = |b - 2|. Prove that R...
c. Explain what is wrong with the following statement: ∫ ?(5?)?? = 5 ∫ ?(?)?? d....
c. Explain what is wrong with the following statement: ∫ ?(5?)?? = 5 ∫ ?(?)?? d. True or False (Justify your answer for full credit) : If f and g are continuous, positive functions and ?(?) ≥ ?(?), ? ≤ ? ≤ ?, then ∫ ?(?)?? ≥ ∫ ?(?)?? ? ? ? ? . (A picture might help) e. Consider ∫ ??(? 2 )??. Suppose ? = ? 2 . Rewrite the integral in terms of u. f. Consider ∫...