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MatroZZZ [7]
3 years ago
11

What are 3 completed examples for functions?

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0
Example 1

Write y = x2 + 4x + 1 using function notation and evaluate the function at x = 3.

Solution

Given, y = x2 + 4x + 1

By applying function notation, we get

f(x) = x2 + 4x + 1

Evaluation:


Substitute x with 3

f (3) = 32 + 4 × 3 + 1 = 9 + 12 + 1 = 22

Example 2

Evaluate the function f(x) = 3(2x+1) when x = 4.

Solution

Plug x = 4 in the function f(x).

f (4) = 3[2(4) + 1]

f (4) = 3[8 + 1]

f (4) = 3 x 9

f (4) = 27

Example 3

Write the function y = 2x2 + 4x – 3 in function notation and find f (2a + 3).

Solution

y = 2x2 + 4x – 3 ⟹ f (x) = 2x2 + 4x – 3


Substitute x with (2a + 3).

f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) – 3

= 2(4a2 + 12a + 9) + 8a + 12 – 3
= 8a2 + 24a + 18 + 8a + 12 – 3
= 8a2 + 32a + 27
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Which function f (x) , graphed below, or g (x) , whose equation is g (x) = 3 cos 1/4 (x + x/3) + 2, has the largest maximum and
Leya [2.2K]

Answer:

g(x), and the maximum is 5

Step-by-step explanation:

for given function f(x), the maximum can be seen from the shown graph i.e. 2

But for the function g(x), maximum needs to be calculated.

Given function :

g (x) = 3 cos 1/4 (x + x/3) + 2

let x=0 (as cosine is a periodic function and has maximum value of 1 at 0 angle)

g(x)= 3 cos1/4(0 + 0) +2

    = 3cos0 +2

     = 3(1) +2

     = 3 +2

     = 5 !

7 0
3 years ago
(19, 18), (-11, -14)
Readme [11.4K]

Answer:16/15

Step-by-step explanation:

slope=\frac{y_{2}- y_{1} }{x_{2}-x_{1}  }

       =\frac{-14-18}{-11-19}

      =\frac{-32}{-30}

      =\frac{16}{15}

6 0
4 years ago
3 thousands divided by 10
aleksandrvk [35]
3 thousands devided by 10= 3 hundreds= (300)                  
7 0
4 years ago
Read 2 more answers
Simplify 2x(6x^3-4x+11)
ollegr [7]
<span><span>12 x^{4} -8 x^{2} +2 2^{x}</span><span>

</span></span>
8 0
3 years ago
pls help i need this now subtract -9 1/3 - ( - 1 1/3 enter your answer as a simplified fraction in the box
Neko [114]

Answer:

-8/1 or -8

Step-by-step explanation:

when you subtract a negative, it means add. so first lets add the one. we get -8 1/3. then we can add the 1/3. our final answer is -8

4 0
3 years ago
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