X power 5 + 3 x power 4 minus 5 x power 3 + 14 x power 2 + 13 x minus 16 / 2 x minus 5
Answers
Answer:
Question: Evaluate 81/3 and 8-1/3
Answer: 2, 1/2
Question: Evaluate 82/3 and 8-2/3
Answer: 4, 1/4
Question: Evaluate 45/2, 274/3 and 16-3/2
Answer: 32, 81, 1/64
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Question: In the table below you can see the values of three different functions. Two are power functions: one has the form f(t) = at2, while the other has the form f(t) = bt3. The third is an exponential function of the form f(t) = kbt. Which is which and how can you tell?
t F1(t) t F2(t) t F3(t)
1.0 2.5 0 2.2 2.0 4.8
1.2 4.32 1.0 2.64 2.2 5.81
1.4 6.86 2.0 3.17 2.4 6.91
1.6 10.24 3.0 3.80 2.6 8.11
1.8 14.58 4.0 4.56 2.8 9.41
2.0 20.0 5.0 5.47 3.0 10.8
Answer:
F1(t) is the cubic function;
F2(t) is the exponential function;
F3(t) is the quadratic function.
Here are some observations which lead to these conclusions.
All power functions ktp with p 0 are zero for t = 0. Thus F2 cannot be a power function.
Assuming that F1(t) = ktn with n = 2 or n = 3, we can evaluate F1(1) to obtain k. In this case, k = 2.5.
Since F1(t) = (2.5)tn with n = 2 or n = 3, we can figure out n by evaluating at t = 1.2.
(2.5)(1.2)2 = 3.6 and (2.5)(1.2)3 = 4.32,
so n = 3.
Return to Exercises
Question: Solve 3 x2.2 = 6.
Answer: x = 21/(2.2). Since 2.2 = 22/10 = 11/5, this is the same as x = 25/11.
Question: 3 x2.2 = -6.
Answer: x = (-2)1/(2.2). Since 2.2 = 22/10 = 11/5, this is the same as x = (-2)5/11 which is a well-defined real number. On the other hand, your calculator or computer algebra package will probably treat the exponent 1/(2.2) as a REAL number and, not caring that this is a rational number with an odd denominator, will feel that (-2)1/(2.2) is a complex number which is NOT real. You be the judge!
Question: x -4 = 1.7
Answer: x = (1.7) -1/4.
Question: x -4 = -1.7
Answer: x -4 = 1/x4 which is never negative for real numbers x, so this equation has no solution in any interpretation.
Power Functions Field Guide HUB CQ
you have to do like this example OK
now u understand
see in pictures
