12. Based on a population mean (u) of 20 and a population standard deviation (6) of 5, what is the probability of a getting a sc
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It looks like you have the domain confused for the range! You can think of the domain as the set of all "inputs" for a function (all of the x values which are allowed). In the given function, we have no explicit restrictions on the domain, and no situations like division by 0 or taking the square root of a negative number that would otherwise put limits on it, so our domain would simply be the set of all real numbers, R. Inequality notation doesn't really use ∞, so you could just put an R to represent the set. In set notation, we'd write
and in interval notation,
The <em>range</em>, on the other hand, is the set of all possible <em>outputs</em> of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that
,
in set notation:
(this just means "f(x) is a real number less than or equal to 3")
and in interval notation:
Answer:
See attachment for graph
Or
The slope intercept form is
Step-by-step explanation:
Assuming you want to graph the straight line given in point-slope form as
Then we need at least two points on this line
When we compare to the point-slope formula then we obtain (-5,-2) as a point on this line so we plot it.
When x=0, y=4(0+5)-2=18 so we plot (0,18)
We then draw a straight line through as shown in the attachment.
On the other hand, if you had wanted the equation slope intercept form, then we expand to obtain:
