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.

A.  0.0004 
b.  0.61

in a, you can get the answer by multiplying 0.02, which is the probability that the bus will arrive early, and 2, which is the number of days. so 2(0.02) is 0.0004, which is the probability that the bus will arrive early for the next two days.

in b, you can get the answer by subtracting 0.19, which is the probability that the bus will be late, and 0.02, which is the probability that the bus will be early, from 1 which is the sum of all probabilities. so 1-(0.02+0.19) is 0.61, which is the probability that the bus will arrive on time.