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suter [353]
2 years ago
13

What is the range of y = sin x?

Mathematics
1 answer:
Greeley [361]2 years ago
7 0

Answer:

See below

Step-by-step explanation:

The function f(x)=sin(x) oscillates between -1 and 1, so the range is -1\leq x\leq 1.

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What is the sum of<br> (2 – 8x2 – 15)<br> and<br> (2 + 12x – 3x)?
lys-0071 [83]

Answer: (2 - 8x2 - 15) = -29/1 = -29

              (2 + 12x - 3x) = 0

(2 + 12•x - 3•x) = 0

9x = -2

x = -2/

9

≈ -0.222222

Step-by-step explanation:

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3 apples cost $1.26. How much do 10 apples cost?
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 your answer is $4.20
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1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a? 2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x)
vagabundo [1.1K]

Answer:

1. a = -31/9

2. -3/4

3. Different degree polynomials

4. Yes, of a degree 2n

5. a. Even-degree variables

b. Odd- degree variables

Step-by-step explanation:

1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a?

<u>Plugging in 3 for x:</u>

f(3)= 3^4 - 2*3^3 + a*3^2 + 3 + 3= 81 - 54 + 6 + 9a = 33 + 9a and f(3)= 2

  • 9a+33= 2
  • 9a= -31
  • a = -31/9

------------

2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)?

  • f(0)= -4, h(0)= 3, g(0) = ?
  • h(x)= f(x)*g(x)
  • g(x)= h(x)/f(x)
  • g(0) = h(0)/f(0) = 3/-4= -3/4
  • g(0)= -3/4

------------

3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g?

  • <em>A monic polynomial is a single-variable polynomial in which the leading coefficient is equal to 1. </em>

If the sum of monic polynomials f(x) + g(x) is also monic, then f(x) and g(x) are of different degree and their sum only change the one with the lower degree, leaving the higher degree variable unchanged.

------------

4. If f(x) is a polynomial, is f(x^2) also a polynomial?

  • If f(x) is a polynomial of degree n, then f(x^2) is a polynomial of degree 2n

------------

5. Consider the polynomial function g(x) = x^4-3x^2+9

a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial?

  • If f(x) and f(-x) are same polynomials, then they have even-degree variables.

b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial?

  • If f(x) and -f(-x) are the same polynomials, then they have odd-degree variables.
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Write as fractions or mixed numbers. a. 0.00078 b. 2.000302
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3 years ago
Write two inequalities for the statement:
arsen [322]

Answer: Here are two inequalities. Hope this is good.

4<x<9

9>x<4

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