F(x)=-x²+10x-18
Use the quadratic formula.
even if the answer should be in standard form?
Ok, then I don't know what the question is.
To understand the function f(x)=-x²+10x-18, you need to break it down and analyze each term individually.
1. The x² term represents the square of the variable x. This means that x is being multiplied by itself, resulting in a positive value regardless of the value of x.
2. The 10x term represents the product of 10 and x. Since it is a linear term (first power of x), its value will change based on the value of x.
3. The -18 term is a constant. It does not depend on the value of x and will always remain the same.
To find the value of f(x) for a specific value of x, plug in that value into the equation and solve for f(x).
For example, let's find the value of f(x) when x = 3:
f(3) = -(3)² + 10(3) - 18
= -9 + 30 - 18
= 3
So, f(3) = 3.
To graph the function, plot several points by substituting different values of x into the equation and evaluating f(x). Connect these points with a smooth curve to get a graph of the function.
Hope this explanation helps you understand the function f(x)=-x²+10x-18 and how to find its value for a specific x and how to graph it.