Question 1001889
t(p) = 44 is a function that tells you that the value of the function will always be 44 regardless of the value of p.


the disappearance of p on the right hand side of the equation indicates that any value of p will satisfy the function.


t is the name of the function.
p is the argument of the function.
the expression on the right side is the rules of the function.


for example:


t(p) = p means that the value of the function will always be the value of p.


t(1) = 1
t(2) = 2
etc.


t(p) = p^2 means that the value of the function will always be the square of the value of p.
t(2) = 4
t(3) = 9
etc.


consider t(p) = p + 44
the value of the function will always be 44 more than the value of p.
t(1) = 1 + 44 = 45
t(2) = 2 + 44 = 46
etc.


consider t(p) = 0*p + 44
the value of the function will always be 44.
it doesn't matter what the value of p is.
t(0) = 0*0 + 44 = 44
t(1) = 0*1 + 44 = 44
t(2) = 0*2 + 44 = 44


when you simplify t(p) = 0*0 + 44, it becomes t(p) = 44.


to graph t(p) = 44, replace t(p) with y and replace p with x and you will get:
y = 0*x + 44 which becomes y = 44.


graph y = 44 and you will get a horizontal line at y = 44.
whatever value that x is, y will always be 44.


here's the graph:


{{{graph(600,600,-10,10,-10,100,44)}}}