AP Pre calculus Subjects (2.1-2.8)

(2.1) For the sequence {a_n}, what does a₀ typically represent?

• The last term of the sequence.
• The first term of the sequence.
• The sum of all terms in the sequence.
• The average of the first five terms.

(2.1) What is the common difference of this sequence {5, 8, 11, 14 …}?

• -3

• 3

• 6

• 4

(2.1) What is the common ratio of the sequence {2, 6, 18, 51…}

• 3

• -3

• 6

• 18

(2.1) Which best describes this sequence {3, 6, 12, 24, 48…}

• Arithmetic, common difference is 6

• Arithmetic, common difference is 3

• Geometric, common ratio is 3

• Geometric, common ratio is 2

(2.2)Which of the follow functions represents a linear function?

• F(x) = 2x + 5

• F(x) = 2^x

• F(x) = x² + 2x +1

• F(x) = x²+6x-2

(2.2) Which of the following statements best describes the growth of exponential functions compared to linear functions?

• Exponential functions grow faster than linear functions for all values of x .

• Exponential functions grow faster than linear functions for sufficiently large x .

• Linear functions grow faster than exponential functions for all values of x .

• Linear functions grow faster than exponential functions for sufficiently large x .

(2.2)What is the constant rate of change for the function f(x) = 3x - 7 ?

• -7

• 3

• X+3

• 3x

(2.3) Which of the following functions is exponential?

• f(x) = 3^x

• f(x) = x³

• f(x) = x + 3

• f(x) = log(x)

(2.3) What is the initial value of an exponential function?

• The initial value is always 1 for any exponential function.
• The initial value is the coefficient 'a' in the function f(x) = a * b^x.
• The initial value is the exponent 'b' in the function f(x) = a * b^x.
• The initial value is the variable 'x' in the function f(x) = a * b^x.

(2.3) what is the exponential of f(x) = 12/17(17/12)^x?

• Growth

• Decay