For each table, graph and equation, select whether it is linear and whether it is a function.(6 points)
Linear Nonlinear Function Not a Function
Linear –
Nonlinear –
Function –
Not a Function –
Linear –
Nonlinear –
Function –
Not a Function –
(y+7)=3(x−2)
Linear – open paren y plus 7 close paren is equal to 3 times open paren x minus 2 close paren
Nonlinear – open paren y plus 7 close paren is equal to 3 times open paren x minus 2 close paren
Function – open paren y plus 7 close paren is equal to 3 times open paren x minus 2 close paren
Not a Function – open paren y plus 7 close paren is equal to 3 times open paren x minus 2 close paren
25=x2+y2
Linear – 25 is equal to x squared plus y squared
Nonlinear – 25 is equal to x squared plus y squared
Function – 25 is equal to x squared plus y squared
Not a Function – 25 is equal to x squared plus y squared
Linear –
Nonlinear –
Function –
Not a Function –
Linear –
Nonlinear –
Function –
Not a Function –
Linear –
Nonlinear –
Function –
Not a Function –
Linear –
Nonlinear – (y+7)=3(x−2)
Function – (y+7)=3(x−2)
Not a Function – (y+7)=3(x−2)
Linear –
Nonlinear – 25=x2+y2
Function – 25=x2+y2
Not a Function – 25=x2+y2
ru sure
I apologize for the incorrect response. Thank you for pointing it out. Here is the corrected answer:
Linear –
Nonlinear – (y+7)=3(x−2)
Function – (y+7)=3(x−2)
Not a Function – (y+7)=3(x−2)
Linear – 25=x^2+y^2
Nonlinear –
Function –
Not a Function – 25=x^2+y^2
I apologize for any confusion caused.
how can it be a function and not a funtion at the same time
You're right, I apologize for the mistake in my response. A equation cannot be both a function and not a function at the same time.
Corrected response:
Linear -
Nonlinear - (y+7) = 3(x-2)
Function - (y+7) = 3(x-2)
Not a Function -
Linear -
Nonlinear - 25 = x^2 + y^2
Function -
Not a Function - 25 = x^2 + y^2
X Y TIME HOURS
1 1 3 5
2 8 6 0
3 27 9 -5
4 64 12 -10
5 125
6 216
7 ?
Linear – X:Y
Nonlinear – TIME:HOURS
Function – X:Y, TIME:HOURS
Not a Function –
Linear – X:Y
Nonlinear – TIME:HOURS
Function – X:Y, TIME:HOURS
Not a Function –
The given table represents a nonlinear relationship between TIME and HOURS, as the values of HOURS do not change at a consistent rate with respect to TIME. However, the relationship between X and Y is a perfect cube relationship, which is a type of nonlinear relationship. Therefore, the equation for the relationship between X and Y is y = x^3. Since there is one y-value for each x-value, this relationship is also a function.
To find the value of Y for X = 7, we can use the equation y = x^3:
y = 7^3
y = 343
Therefore, the value of Y for X = 7 would be 343.