What are the domain and range of the function below?
2 answers:
ANSWER
Domain:
Range:
EXPLANATION
The domain refers to the values of x for which the function is defined.
The least value of x is 0.
Therefore the domain is![[0,\infty]](https://tex.z-dn.net/?f=%5B0%2C%5Cinfty%5D)
.
or
The range refers to values of y for which x is defined.
The highest value on the y-axis that the graph can attained is 4. The function decreases without bound.
There the range is![(- \infty,4]](https://tex.z-dn.net/?f=%28-%20%5Cinfty%2C4%5D%20)
.
or
Domain:
Range:
EXPLANATION
The domain refers to the values of x for which the function is defined.
The least value of x is 0.
Therefore the domain is
or
The range refers to values of y for which x is defined.
The highest value on the y-axis that the graph can attained is 4. The function decreases without bound.
There the range is
or
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Answer:
converts Celsius to Fahrenheit.
converts Fahrenheit to Celsius.
Step-by-step explanation:
Write given data in the table
Let the expression for the function be
Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.
Substitute corresponding values into this expression:
Subtract these two equations:
Substitute it into the first equation:
So,
This is the function which converts Celsius to Fahrenheit.
And function
converts Fahrenheit to Celsius.
To get the result we have to transform given formula into y=ax+b form.
Lets do this
5x+3y=6 /-5x (subtract 5x both sides)
3y=-5x+6 /:3 (divide both sides by 3)
y=
In form y=ax+b we know that a is slope and b is y intersect. We can read from our transformed equation that slope a=
and its the result
Lets do this
5x+3y=6 /-5x (subtract 5x both sides)
3y=-5x+6 /:3 (divide both sides by 3)
y=
In form y=ax+b we know that a is slope and b is y intersect. We can read from our transformed equation that slope a=