How To Find Function Rule
Step: 1
On observing the table, it is plant that the output 5 = 6 - ane, ten = 11 - 1, 14 = 15 - 1 and 6 = 7 - 1
Step: two
So, the relation betwixt the input and output values is Output = Input - ane.
Correct Answer is :Output = Input - 1
Stride: 1
(
) = 1.19
[Original equation.]
Stride: two
[Substitute 1 for
and simplify.]
Step: iii
[Substitute 2 for
and simplify.]
Footstep: 4
[Substitute three for
and simplify.]
Stride: 5
[Substitute 4 for
and simplify.]
Step: 6
Table iii matches with the equation.
Correct Answer is :Table 3
Step: ane
The formula to write a function dominion from a table is
(
) =
+
.
Step: 2
Pace: three
The value of
increases past three and the
(
) value increases by 12.
Pace: four
[
= difference between
(
) values / divergence betwixt
values.]
Step: 5
Step: 6
[Since
is the value of
(
) when
= 0.]
Step: seven
The rule for the linear role is
(
) = 4
- 1.
Right Answer is :
Step: 1
On observing the table information technology is plant that the output 5 = five, 6 = 6, seven = 7, 8 = 8 and 9 = ix.
Step: 2
So, nosotros tin write the human relationship between input and output as a rule, Output = input.
Correct Answer is :Output = Input
Step: ane
Stride: two
Step: iii
Step: 4
In the table for
= ane,
= 48. So first equation is ruled out.
Step: 5
Step: 6
Step: 7
Step: eight
Step: 9
Step: x
Footstep: eleven
Step: 12
The equation
= fifty - 2
satisfies the table.
Right Reply is :
Footstep: one
The formula to write a part rule from a table is
(
) =
+
.
Step: 2
Step: 3
The value of
increases by 1 and the
(
) value increases by two.
Stride: 4
[
=
.]
Step: 5
Step: half dozen
[Since
is the value of
(
) when
= 0.]
Step: seven
The dominion for the linear function is
(
) = 2
+ 1.
Right Answer is :
Step: ane
Consider choice A,
= 50 - five
.
Step: 2
Substitute 0 for
,
50 - 5(0) = 50.
Footstep: 3
Substitute 1 for
,
= 50 - 5(ane) = 45.
Step: 4
In the given table for
= 1,
= 46. So first equation is ruled out.
Step: v
Consider pick B,
= 50 - 4
.
Step: six
Substitute 0 for
,
= 50 - four(0) = 50.
Footstep: 7
Substitute1 for
,
= 50 - 4(1) = 46.
Stride: 8
Substitute ii for
,
= 50 - 4(2) = 42.
Pace: 9
Substitute iii for
,
= 50 - 4(3) = 38.
Pace: 10
Substitute iv for
,
= 50 - 4(four) = 34.
Step: 11
Substitute 5 for
,
= 50 - 4(five) = 30.
Step: 12
The equation
= l - 4
satisfies the given table.
Correct Answer is :
Footstep: 1
The rule for the blueprint is subtract 12 from the number in column A to get the number in column B.
542 - 12 = 530, 368 - 12 = 356, 225 - 12 = 213.
Pace: 2
The missing number is 414.
Step: iii
Then, the rule for the pattern is subtract 12 from the number in cavalcade A to become the number in cavalcade B
Correct Respond is :subtract 12 from the number in column A
Step: 1
By dividing the values in cavalcade 10 by 4, nosotros get the respective values in Column Y.
Correct Answer is :divide by iv
Footstep: i
On observing the table it is found that 2 =
, v =
, 7 =
, 9 =
.
Stride: 2
So, the equation that represents the tabular array is
=
Right Answer is :
Step: i
On observing the table it is found that four =
+ two, 5 =
+ 2, half dozen =
+ ii, 7 =
+ ii.
Step: ii
And so, the equation that represents the tabular array is
=
+ 2.
Correct Respond is :
Step: i
Consider the first
value given in the table and attempt each rule on the value to bank check if we become the respective
value.
Step: ii
Consider 3.
(3 + 3) - iii = iii, not 9. And then, option 1 does not work.
Step: 3
(3 ÷ 3) + 2 = iii, not 9. So, pick 2 does not work.
Stride: four
(3 × 1) + 2 = 5, non 9. So, choice 3 does not work.
Step: 5
(3 × two) + three = 9, choice 4 works.
Step: half dozen
Then, 'multiply by two and add together 3' is the dominion for the table.
Right Reply is :Multiply past 2 and add together 3.
Step: ane
Substitute from 0 to 5 for '
' in the equation.
Stride: 2
Yous become the following tabular array of values.
Step: iii
Compare the labels and values in this table with the tables given in the question.
Footstep: 4
Notice that just table i matches our tabular array.
[Table 4 has
= half dozen instead of 5. For
= 6,
= 110.]
Correct Answer is :Tabular array 1
Pace: 1
The values of
obtained when
= -1, i, 2, iii in
= 2
+ ii are 0, 4, 6, 8.
Step: two
The values of
obtained when
= -one, one, 2, 3 in
= 3
+ 3 are 0, six, 9, 12.
Step: 3
The values of
obtained when
= -1, 1, 2, 3 in
= -
- 5 are -4, -6, -7, -eight
Step: 4
The values of
obtained when
= -ane, 1, 2, 3 in
=
+ 6 are 5, seven, 8, 9.
Step: v
The values of
obtained for the equation
=
+ 6 are same as that of the values given in the table.
Step: 6
So, the equation
=
+ 6 best represents the given tabular array.
Right Answer is :
Step: i
The values of
obtained when
= 1, 2, 3, four in
= 3
+ 7 are 10, 13, 16, nineteen.
Step: 2
The values of
obtained when
= 1, 2, iii, 4 in
=
+ 7 are 8, nine, 10, eleven.
Pace: 3
The values of
obtained when
= 1, two, 3, 4 in
= 8
+ 5 are thirteen, 21, 29, 37.
Footstep: 4
The values of
obtained when
= 1, 2, 3, 4 in
= 8
are eight, 16, 24, 32.
Stride: 5
The values of
obtained for the equation
= 8
are aforementioned equally that of the values given in the tabular array.
Step: 6
So, the equation
= 8
best represents the given table.
Correct Answer is :
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Related Worksheet
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Related Topic
How To Find Function Rule,
Source: http://www.icoachmath.com/topics/8th/Finding-the-Rule-of-a-Function-Table.html
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