SAT Mc Graw Hill 2011

414 McGRAW-HILL’S SAT

SAT Practice 2: Functions

y

x

1

1

y= f(x)

y= g(x)

1. The graphs of functions fand gfor values of x
   between 3 and 3 are shown above. Which of
   the following describes the set of all xfor
   which g(x) ≥f(x)?
   (A) x≥ 3
   (B)  3 ≤x≤1 or 2 ≤x≤ 3
   (C)  1 ≤x≤ 2
   (D) 1 ≤x≤ 6
   (E) 3 ≤x≤ 5


2. If f(x) =x+2 and f(g(1)) =6, which of the
   following could be g(x)?
   (A) 3x
   (B) x+ 3
   (C) x 3
   (D) 2x+ 1
   (E) 2x 1


3. What is the least possible value of (x+2)^2 if
    3 ≤x≤0?
   (A)  3
   (B)  2
   (C)  1
   (D) 0
   (E) 1
   4. The table above gives the value of the linear func-
   tionffor several values of x. What is the value
   of a+b?
   (A) 8
   (B) 12
   (C) 16
   (D) 24
   (E) It cannot be determined from the
   information given.
   5. The graph on the xy-plane of the quadratic
   function gis a parabola with vertex at (3, 2).
   If g(0) =0, then which of the following must
   also equal 0?
   (A) g(2)
   (B) g(3)
   (C) g(4)
   (D) g(6)
   (E) g(7)
   6. In the xy-plane, the graph of the function his
   a line. If h(1) =4 and h(5) =1, what is the
   value of h(0)?
   (A) 2.0
   (B) 2.2
   (C) 3.3
   (D) 3.5
   (E) 3.7

x 234

f(x) a 8 b