Answer:
Option D is correct.i.e., f(x) = | x - 2 | + 1
Step-by-step explanation:
Function which satisfy the given data is our Ans.
So, we check for all functions.
Option A : f(x) = |x| + 1
put, x = -2
we get, f( -2 ) = |-2| + 1 = 2 + 1 = 3 ≠ 5
⇒f ( -2 ) is not equal to given value of f ( -2 ).
Thus, This is not function of given data.
Option B : f(x) = | x-2 |
put, x = -2
we get, f( -2 ) = | -2 - 2 | = | -4 | = 4 ≠ 5
⇒f ( -2 ) is not equal to given value of f ( -2 ).
Thus, This is not function of given data.
Option C : f(x) = | x-2 | - 1
put, x = -2
we get, f( -2 ) = | -2 - 2 | - 1 = | -4 | - 1 = 4 - 1 = 3 ≠ 5
⇒f ( -2 ) is not equal to given value of f ( -2 ).
Thus, This is not function of given data.
Option D : f(x) = | x-2 | + 1
put, x = -2
we get, f( -2 ) = | -2 - 2 | + 1 = | -4 | + 1 = 4 + 1 = 5
⇒f ( -2 ) is equal to given value of f ( -2 ).
put, x = 0
we get, f( 0 ) = | 0 - 2 | + 1 = | -2 | + 1 = 2 + 1 = 3
⇒f ( 0 ) is equal to given value of f ( 0 ).
put, x = 2
we get, f( 2 ) = | 2 - 2 | + 1 = | 0 | + 1 = 0 + 1 = 1
⇒f ( 2 ) is equal to given value of f ( 2 ).
put, x = 3
we get, f( 3 ) = | 3 - 2 | + 1 = | 1 | + 1 = 1 + 1 = 2
⇒f ( 3 ) is equal to given value of f ( 3 ).
put, x = 5
we get, f( 5 ) = | 5 - 2 | + 1 = | 3 | + 1 = 3 + 1 = 4
⇒f ( 5 ) is equal to given value of f ( 5 ).
Thus, This is function of given data.
Therefore, Option D is correct.
(DON'T GOOGLE IT!)
Answer:
The power is larger than the exponet
Step-by-step explanation:
The fuel for a chain saw is a mix of oil and gasoline. The label says to mix 6 ounces of oil with 16 gallons of gasoline.
A. How much oil would you use if you had 32 gallons of gasoline?
B. Set up a proportion to use in solving this problem.
Thing 2
A. EXPLAIN how to set up a proportion and then
B. solve the problem below.
A recipe calls for 9 tablespoons of milk for every 21 cups of flour. If the chef puts in 168 cups of flour, how many tablespoons of milk must the chef add?
Enter your answer as a fraction in simplest form in the box.
y = x
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have
Substitute the values and solve for k
therefore
the equation of the line is equal to
Answer:
Step-by-step explanation:
Direct proportionality states:
if
then, the equation is in the form of:
......[1] where, k is the constant of proportionality.
As per the statement:
The graph of a proportional relationship contains the point (20, 4).
Substitute these point in [1] we have;
Divide both sides by 20 we have;
or
Therefore, the corresponding equation is: