4 . E
Testing the point (3,0) in each of the answer choices, we find that this point is not on the
graphs of choices (A), (B), and (D). Therefore, we can eliminate them. Looking at choices (C)
and (E), for any x > 3, the graph of (C) is negative, so choice (C) can be eliminated. Therefore,
choice (E) must be correct.
5 . C
The function will be undefined for any values of x that make the denominator zero or that
make the expression under the radical negative. The denominator is zero when
The expression under the radical is negative when
So the function is undefined when x ≤ −1 or when x ≥ 1.
6 . D
You might think this one can’t be done because it does not tell you exactly what the function
is that you want the inverse of.
It just says the slope is , but, in fact, it doesn’t actually ask for the inverse function; it just
asks for the slope.
You can spot the correct answer immediately if you remember how the slopes of inverse
functions are related: They’re reciprocals.
You can still find the answer without remembering that relationship. You know the slope of
f(x) is .