The first 5 terms of an arithmetic sequence are 7 , 21 , 35 , 49 , and 63 . Let t n represent the n th term of the sequence. What is the value of t 25 ?
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Let f (t) = 7 e + 1 . Which of the following numbers is closest to the value of f (5) ? −1
Which of the following expresses 40° in radians? _ 2
Let the function f be defined as f (x) = −9 x . In the standard (x,y) coordinate plane, the graph of y = f (x) undergoes a transformation such that the result is the graph of y = f (x) − 4 . Under this transformation the graph of y = f (x) is:
The table gives values of f (x) , g (x) , and h (x) for all positive integers x ≤ 5 . Given h (f (g (a) ) ) = 1 where a is a positive integer less than or equal to 5 , what is the value of a ? x f (x) g ( x) h ( x) 1 2 4 3 2 1 5 1 3 4 2 5 4 5 3 4 5 3 1 2
A function, f , is defined by the equation f ( x ) = x + 5 . What is f ( 3 ) + 1 ?
Given the function f (x) = 4 x − 14x + 12 , which of the following expressions is equivalent to f (x) ?
What is the amplitude of the graph of function _ 1 f (x) = cos (3x + π) , shown in the standard (x,y) coordinate plane? y O x −1 _ 1
The 1 st term of a certain sequence is −10 , and the 2 nd term is 1 . Each subsequent term is obtained by adding the 2 immediately preceding terms. What is the 5 th term of this sequence?
Some values of the function g are given in the table. One of the following equations defines g . Which one? x −2 0 1 2 3 g ( x) 0 −8 −6 0 10
The piecewise functions f and g are given. − x for x < 0 f (x) = { 1 − x for x ≥ 0 ⎪x⎪ + 7 for x ≤ −1 g (x) = { x − 3 for x > −1 What is the value of f (g ( − 1) ) ?
The real solution of the equation 3 e = 12 is:
Given that f (x) = √ 2x − 1 , which of the following −1 expressions is the inverse function, f (x) ? _ 1