## Link of the Day

Is there
always another explanation or point of view?
Before you answer this released SAT essay prompt, check out this article
that is part current event and part historical example with a literary connection
thrown in just for fun. Richard the III
was a real king who is best known as a villain in Shakespeare’s work. Read about what happened to him and why he is
appearing in the news now. There are far
too many themes in this article to name them all, so come up with about a dozen
ways you could connect this example to an essay prompt. Then memorize a few of the most interesting
facts so that you can use them to support your opinion on any of the themes
that show up in your SAT essay prompt.

Note: The identity of King Richard the III has been confirmed. Read here for details.

Note: The identity of King Richard the III has been confirmed. Read here for details.

## Algebra: Functions

*Read the following SAT test question and then select the correct answer.*

Always read the problem carefully, identify the bottom line, and assess your options for solving the problem before you attack the problem. When you have an answer, loop back to verify that it matches the bottom line.

*The function y = f(x), defined for -1.5 ≤ x ≤ 1.5, is graphed above. For how many different values of x is f(x) = 0.2?*

**Bottom Line**: # times

*f(x)*= .2

**Assess your Options**: Some students will skip this problem, thinking that it requires a lot of time to somehow write a formula for the function from the graph. However, once you know what you are looking at, this is one of the easiest and fastest problems on the test! All that you have to do is read the graph!

**Attack the Problem**: You know that

*f(x)*= .2 is the same thing as

*y*= .2. Anytime you see

*f(x)*, you can just substitute a

*y*for

*f(x)*if that clarifies the problem in your head. If

*y*is constant, you know that it will be a horizontal line at .2. Draw that line on your graph.

Anywhere that the line
crosses the function

*f(x)*, that function is equal to .2. Count up the number of intersections between the line that you drew and the original function. There are four. That means that*f(x)*= .2 four times.

**Loop Back**: You solved for your bottom line, so you are ready to look down at your answer choices.

(A) None

(B) One

(C) Two

(D) Three

(E) Four

The correct answer is (E).

On sat.collegeboard.org,
39% of the responses were correct.

For more help with SAT math, visit www.myknowsys.com!