Bushy said:Consider the function
f(x) = (x+4)^2(a-x)
Let T be greater than 0, find 'a' such that f(x) = T has 2 solutions.
No idea how to kick this one off..
A solution to a function is a value or set of values that make the function true when substituted into the equation. It is the point(s) where the graph of the function intersects with the x-axis.
To find the solutions to a function, you can set the function equal to 0 and then solve for the variable. This will give you the x-values of the points where the function crosses the x-axis.
Yes, a function can have more than one solution. This means that there can be multiple points where the function crosses the x-axis and makes the equation true.
Yes, there are a few shortcuts that can be used to find solutions to a function. These include factoring, using the quadratic formula, and using the graph of the function to estimate the solutions.
To check if a value is a solution to a function, you can substitute the value into the function and see if the resulting equation is true. If it is, then the value is a solution to the function.