Answer:
The equation that represents this relation is [tex]y = 3x - 5[/tex].
The relation is a function.
If the domain of the relation is x > 2, the range of the relation is [tex]y >1[/tex]
Step-by-step explanation:
Given
Output = 3 * Input - 5
Required
Complete the gap
Solving (a):The equation for the relation.
Let
[tex]x \to[/tex] input
[tex]y \to[/tex] output
The relation is:
[tex]y = 3 * x - 5[/tex]
[tex]y = 3x - 5[/tex]
Solving (b): Is the relation, a function?
Yes; Because every value of x has a distinct value in 7
Solving (c): The range:
Domain: [tex]x > 2[/tex]
Substitute 2 for x in [tex]y = 3x - 5[/tex]
[tex]y =3 * 2 - 5[/tex]
[tex]y =6 - 5[/tex]
[tex]y =1[/tex]
The range is:
[tex]y >1[/tex]
Answer:
The equation that represents this relation is [ y= 3x - 5 ]
The relation [ is ] a function.
If the domain of the relation is x > 2, the range of the relation is y > [ 1 ].
Step-by-step explanation:
The output, y, of a relation, is the difference of three times the input, or 3x, and 5. So, y = 3x − 5.
Substituting any x-value from the domain into the equation will result in exactly one value of y, so the relation is a function.
To find the range of the relation, given the domain, substitute the boundary point of the domain into the function equation:
When x = 2, y = 3(2) − 5 = 6 − 5 = 1.
Because substituting values of x that are greater than 2 will result in values of y that are greater than 1, the range of the relation is y > 1.
Hope this helps !!
