4 . E
The answer choices are all linear equations in convenient y = mx + b form. A line that has
points in all quadrants but the first is a line that crosses the y-axis below the origin and heads
downhill from there—in other words, a line with both a negative y-intercept and a negative
slope. (C) and (E) have negative y-intercepts. (D) and (E) have negative slopes. Only (E) has
both.5 . E
Factor the numerator and look for something you can cancel with the denominator:
It’s given that b = 3 − a, which is just another way of saying a + b = 3 , so−(a + b) = −36 . D
To find the value of f(x) for a particular value of x, plug it into the definition:
You’ll need your calculator to evaluate part of this expression, but you should realize,
without a calculator, that eln2 is 2. Use your calculator to find that 2 ln 2 ≈ 1.39 and,
therefore,7 . C
You can use the two given points to figure out the slope: