Find the range of the function f(x)=10-x squared

I'll assume x is squared, case in which the function looks like this:

The range is (-∞; 10] and be careful at those parentheses

Step-by-step explanation:

You could, for example, think of what happens to x for different situations.

If x is very big, is even bigger. 10 - thus gets smaller, because you're subtracting something bigger and bigger. So, it tends to negative infinity.

Now, if x is any bigger than 10, it'll be a negative result, so

x>10 ==> f(x)<0

actually, this happens for any x>

For x negative, smaller (more negative) than -, the result is the same.

If x is in the range then the result becomes positive, since we're subtracting something smaller than 10. The biggest result we could ever achieve is when x=0. Thus 10 - 0 = 10.

In conclusion, 10 is the "upper limit" and -∞ is the "lower limit".

Thus, the range is (-∞ ; 10] AND BE CAREFUL AT PARENTHESES.

answer: t=3

step-by-step explanation: