A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis. A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
f (x) = (x + 5) ^ 2
f (x) = x ^ 2 + 10x + 25
f (-x) = (-x + 5) ^ 2
f (x) = x ^ 2 - 10x + 25
the function does not comply with the definitions.
The function is NOT even
The function is not odd
answer
neither
Equation:
y - 10 = -5x
Solve:
(y - 10) + 10 = (-5x) + 10
y = -5x + 10
Remember the formula (Slope Intercept Form):
y = mx + b
m = Slope (Rise/Run)
b = Y-intercept
So your graph would look something like the attached image:
<em>(Need further elaboration? Let me know!)</em>
Answer:

where x₁ and x₂ are values in the interval [x,y] respectively
Step-by-step explanation:
Well, first to determine the average rate of change of a function, you should have the interval of the values of x for the function.
So lets assume you have a function;

And the interval as [1,3]
Then the average rate of change for the function f(x) will be;

where x₁ and x₂ are the interval coordinates x,y respectively. In this case x₁=1 and x₂=3
To find the average rate of change in this example will be;

Answer:
75
Step-by-step explanation: