SAT Math Question Please Help From Blue Book

JefferyJung
Sun, 01 Jan 2012 23:24:37 +0000

I find that many people find the function problems daunting. You just have to breathe and carefully analyze. Now the question seems like the other math problems.

Page 652 #8
The information is given that the function has a minimum at the point (1,1).
→ This tells us that x = 1 is the line of symmetry for this function. Also, the increments are 1 each.

If f(b) = f(3), what can b be?
→ Look at the graph and find f(3). You’ll find that f(3) is 5. For what other value of x does the y value equal 5? -1.

Or, you can approach the problem this way:
Since x = 1 is the line of symmetry, any y value for x = 1 + a is equal to x = 1 - a. For example, y value at x = 2 must equal the y value at x = 0.

f(3) must equal f(-1).

Page 669 #6
You are given that g(k) = 1.
→ Ask yourself, “when does the y value equal 1 in the graph of the function g?”
y value equals 1 when -1 ≤ x ≤ 0.
The only answer that satisfies this requirement is B.