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3 years ago

In a sequence described by a function, what does the notation f(3)=1 mean

Mathematics

2 answers:

lara [203]3 years ago

6 0

Answer with explanation:

If an expression, f(x)=y, is a function, then for every y , there is unique x and for every x, there is unique y.

⇒f(3)=1, means ,when in the expression, x is substituted by, 3 , the value of y is 1.

⇒x(Domain) y(Range)

3 1

The Set of values that x can take is called Domain of the function, and the set of values that y can take is called Range of the function.

vladimir2022 [97]3 years ago

5 0

X = 3
Y = 1

f(3)=1
X Y

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stellarik [79]

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3 years ago

Find a polynomial with a degree of 3, and the zeros 1,7, & -4 with no other zeros.

jarptica [38.1K]

Answer:

$f(x)=(x+4)(x-7)(x-1)$

Step-by-step explanation:

zeroes are when you plug in that x value and get y=0

therefore if you set x = that number and solve for 0 you get a "function"

multiplying these together will yield the complete 3rd degree polynomial

x = 1

x-1=0

x=7

x-7=0

x=-4

x+4=0

$f(x)=(x+4)(x-7)(x-1)$

If needed you could expand but I'm too lazy

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2 years ago

Find an equation of the tangent line to the hyperbola: x^2/a^2 - y^2/b^2 = 1 at the point (x0,x1)

musickatia [10]

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3 years ago

X and y are normal random variables with e(x) = 2, v(x) = 5, e(y) = 6, v(y) = 8 and cov(x,y)=2. determine the following: e(3x 2y

andriy [413]

The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

<h3>What is normal random variables?</h3>

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

$\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}$