1) Which of the following functions is a rational function but not a polynomial a) f(x) = 3x⁴ - 2x + 1 b) f(x) = 2/x + 5 c) f(x) = x³ d) f(x) = 7 2) Which function is a polynomial function? a) f(x) = x² + 1 / x b) f(x) = √x c) f(x) = x⁵ - 4x² + 6 d) f(x) = 1 / x² 3) Which of the following represents a logarithmic function? a) f(x) = 2^x b) f(x) = x² c) f(x) = |x| d) f(x) = ln(x) 4) Which function represents an absolute value function? a) f(x) = x² b) f(x) = √x c) f(x) = 1 / x d) f(x) = |x - 3| 5) What is [4]+[−2.3]? a) 1 b) 2 c) -2 d) 3 6) Determine the function type of: F(x) = x²-4/x-2 a) Polynomial b) Rational c) Exponential d) Logarithmic 7) Which of the following functions is exponential, and what is its domain? f(x)=32x−1 a) Exponential, x ∈ R b) Polynomial, x ∈ R c) Rational, x > 0 d) Logarithmic, x > 0 8) If f(x)=[2x], where [ ] is the greatest integer function, what is f(1.7)+f(−1.2)? a) 1 b) 2 c) 0 d) -1 9) Determine the value using the greatest integer function: f(x) = [x²-3x+2], f(2.5) a) 0 b) 1 c) 2 d) -1 10) Identify the type of function and evaluate: f(x) = [x² - 5x + 6], x = 2.2 a) Polynomial b) Rational c) Greatest integer d) Absolute value 11) Evaluate the given function, 3x - 5 if f(x) is 2. a) 1 b) 3 c) 6 d) -1 12) Evaluate the given function -2x + 4 if f(x) is -3. a) 9 b) 5 c) 2 d) 10 13) Evaluate the given function, x² - 4x + 1 If f(x) is 0. a) -1 b) 0 c) 1 d) 4 14) Find the value of x of the equation 2x²+3x-1 if f(x) is 2. a) 6 b) 7 c) 13 d) 20 15) Find the value of x of the equation x³-2x²+x-1 if f(x) if -3 a) 0 b) 50 c) -50 d) -49
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