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3 years ago

The _____ function is the most basic function in a family of functions.

Mathematics

2 answers:

3241004551 [841]3 years ago

4 0

Answer:

Parent function

Step-by-step explanation:

Parent function is a function simplest in form, of a family of functions that preserves the definition of the entire family.

We can say for example

y =sinx the parent function for all the functions given below

y = sinx +2 (Vertical shift of parent funciton by 2 units up)

y = 3 sinx (Shrink vertically by scale factor of 3)

y = 3 sin (x+1) (Horizontal shift of parent funciton by 1 unit to the right)

Thus we have the parent function is the simples function and the family of functions are got by some transformations of parent functions.

grandymaker [24]3 years ago

3 0

Answer:

Parent function

Step-by-step explanation:

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Given the below sequence:

kvasek [131]

Answer:

a) The next three terms are -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence

C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.

d) The 27 th term is -53

Step-by-step explanation:

a) the given sequence is arithmetic sequence

the difference of second term and first term is -2

given sequence is -1,-3,-5,-7.....

the nth term in arithmetic sequence

$t_{n} = a+(n-1)d$

First term is a = -1 and difference is d = -2

finding fifth term is

$t_{5} = -1 +(5-1)(-2)$

$t_{5} = -1-8 =-9$

finding sixth term is

$t_{6} = -1 +(6-1)(-2)$

$t_{6} = -1-10 =-11$

finding seventh term is

$t_{7} = -1 + (7-1)(-2)$

$t_{7} = -1 -12 =-13$

The next three terms are -9,-11,-13

The given sequence is -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence.

C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.

d) by using nth term formula in arithmetic sequence

$t_{n} = a+(n-1)d$

a= -1 and d =-2

find 27 t h term :-

$t_{27} = -1 + (27-1)(-2) = -1-52=-53$

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