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defon
3 years ago
9

Algebra Parent Functions Graph

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

b. Cubic

Exponential and logarithmic graphs are the similar, logarithmic graphs just reflect exponential graphs. Cubic root is like the one shown, just horizontal.

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Hepl...<br>I will mark as brainliest​
Law Incorporation [45]

Answer:

a) -9, -5, 2, 3

b) 1.66, 0,33, -1.55, -3.25

c) -4.01, -3.35, 0.35, 0.81

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
3 determine the highest real root of f (x) = x3− 6x2 + 11x − 6.1: (a) graphically. (b) using the newton-raphson method (three it
Juliette [100K]

(a) See the first attachment for a graph. This graphing calculator displays roots to 3 decimal places. (The third attachment shows a different graphing calculator and 10 significant digits.)

(b) In the table of the first attachment, the column headed by g(x) gives iterations of Newton's Method. (For Newton's method, it is convenient to let the calculator's derivative function compute the derivative f'(x) of the function f(x). We have defined g(x) = x - f(x)/f'(x).) The result of the 3rd iteration is ...

... x ≈ 3.0473167

(c) The function h(x₁, x₂) computes iterations using the secant method. The results for three iterations of that method are shown below the table in the attachment. The result of the 3rd iteration is ...

... x ≈ 3.2291234

(d) The function h(x, x+0.01) computes the modified secant method as required by the problem statement. The result of the 3rd iteration is ...

... x ≈ 3.0477377

(e) Using <em>Mathematica</em>, the roots are found to be as shown in the second attachment. The highest root is about ...

... x ≈ 3.0466805180

_____

<em>Comment on these methods</em>

Newton's method can have convergence problems if the starting point is not sufficiently close to the root. A graphing calculator that gives a 3-digit approximation (or better) can help avoid this issue. For the calculator used here, the output of "g(x)" is computed even as the input is typed, so one can simply copy the function output to the input to get a 12-significant digit approximation of the root as fast as you can type it.

The "modified" secant method is a variation of the secant method that does not require two values of the function to start with. Instead, it uses a value of x that is "close" to the one given. For our purpose here, we can use the same h(x1, x2) for both methods, with a different x2 for the modified method.

We have defined h(x1, x2) = x1 - f(x1)(f(x1)-f(x2))/(x1 -x2).

6 0
2 years ago
Can someone help me please?
MAVERICK [17]

Good. I hope you get locked, most mainly banned. Nobody needs you, “FrIsK”

4 0
3 years ago
How do you write “twice a number less than 3 is 17” as an equation?
ki77a [65]

Answer:

2 x 3 < 17

Step-by-step explanation:

Greater than and/or less than step by step equasion.

4 0
2 years ago
I need help with this as well
Zina [86]
19. 4/6 or 2/3 (lowest term) or 2:3 in ratio
20. 2/3 or 2:3 in ratio
21. 5/12 or 5:12 in ratio
22. 14
    To get geometric mean, multiply the numbers then get the square root of the product (if there are two numbers), cube root (if there are three numbers), and so on. In this case, 7*28 = 196; √196 = 14
23. 10 ft : 2.5 ft.
    Convert the values so that it will be similar. In this case, 30 inches is converted to ft.
24. 24 is the Perimeter of ABCDE.
    ABCDE and FGHJK are similar shapes. Similar shapes have proportional measurements.

Now compute for the sides of ABCDE.
AB = 4; BC = ?; CD = ?; DE = ?; EA = ?
AB + BC + CD + DE + EA
4 + 4 + 5 + 6 + 5 = 24

Find BC:
AB/BC = FG/GH
   4/BC = 8/8 
    8BC = 32
      BC = 4

Find CD:
BC/CD = GH/HJ
   4/CD = 8/10
    8CD = 40
      CD = 5

Find DE:
CD/DE = HJ/JK
   5/DE = 10/12
  10DE = 60
       DE = 6

Find EA
DE/EA = JK/KF
   6/EA = 12/10
  12EA = 60
      EA = 5
3 0
3 years ago
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