In the expression f(x)=23, x is not a variable. f(x) means “a function of x” or “f of x” and is in practice another way of substituting for the variable y, that is, we are saying:
y=23.
That means x is unspecified and could be anything. So on the xy plane, this is a straight horizontal line, 23 units above the x axis. That would be the best way to interpret this, although it is a little ambiguous.
Usually functions of x are expressed in terms of x, such as:
f(x) = x^2
Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
Answer:100.53mm
Step-by-step explanation:
Answer:
odd
Step-by-step explanation:
To determine if odd/ even
• If f(x) = f(- x) then it is even
• If f(- x) = - f(x) then it is odd
Given
f(x) = 4x³ - 5x , then
f(- x) = 4(- x)³ - 5(- x) = - 4x³ + 5x
Since f(x) ≠ f(- x) then it is not even
- f(x) = - (4x³ - 5x) = - 4x³ + 5x
Since f(- x) = - f(x) , then 4x³ - 5x is odd
