Praxis Algebra I 5162 Domain 2: Functions Welcome to your Praxis Algebra I 5162 Domain 2: Functions 1. Praxis Algebra I (5162) Practice Test: Functions If \( f(x) = 3x^2 - 2x + 1 \), what is \( f(-1) \)? A. 2 B. 4 C. 6 D. 8 None 2. Praxis Algebra I (5162) Practice Test: Functions Which of the following represents the inverse function of \( f(x) = \frac{2x}{x - 1} \)? A. \( f^{-1}(x) = \frac{x}{2x - 1} \) B. \( f^{-1}(x) = \frac{x - 1}{2} \) C. \( f^{-1}(x) = \frac{x}{2 - x} \) D. \( f^{-1}(x) = \frac{2x - 1}{x} \) None 3. Praxis Algebra I (5162) Practice Test: Functions Given \( g(x) = x^2 - 4x + 4 \), for what values of \( x \) is \( g(x) \leq 0 \)? A. \( x = 2 \) B. \( x < 2 \) C. \( x > 2 \) D. No values of \( x \) None 4. Praxis Algebra I (5162) Practice Test: Functions What is the range of the function \( h(x) = \sqrt{x - 2} \)? A. \( x \geq 2 \) B. \( x > 2 \) C. \( y \geq 0 \) D. \( y > 0 \) None 5. Praxis Algebra I (5162) Practice Test: Functions If the function \( f(x) = 2x^3 - 5x^2 + x - 1 \) has a root at \( x = 1 \), what is \( f(1) \)? A. -3 B. -1 C. 0 D. 1 None 6. Praxis Algebra I (5162) Practice Test: Functions What is the domain of the function \( f(x) = \log_3(x + 2) \)? A. \( x > -2 \) B. \( x \geq -2 \) C. \( x < -2 \) D. All real numbers None 7. Praxis Algebra I (5162) Practice Test: Functions Which of the following is the equation of a function whose graph is symmetric about the y-axis? A. \( y = x^3 - x \) B. \( y = x^2 - 4 \) C. \( y = x - 2 \) D. \( y = 2x + 3 \) None 8. Praxis Algebra I (5162) Practice Test: Functions If \( f(x) = |x - 3| \), what is the minimum value of \( f(x) \)? A. -3 B. 0 C. 3 D. There is no minimum value None 9. Praxis Algebra I (5162) Practice Test: Functions What is the vertex of the parabola defined by the function \( g(x) = -2(x - 1)^2 + 3 \)? A. (1, 3) B. (1, -3) C. (-1, 3) D. (-1, -3) None 10. Praxis Algebra I (5162) Practice Test: Functions For the function \( h(x) = \frac{1}{x^2 - 4} \), what are the asymptotes? A. \( x = \pm 2 \) B. \( x = \pm 4 \) C. \( y = \pm 2 \) D. \( y = \pm 4 \) None 11. Praxis Algebra I (5162) Practice Test: Functions If the function \( f(x) = a(x - h)^2 + k \) has a maximum value of 5 when \( x = 2 \), what is the value of \( k \)? A. 2 B. 3 C. 5 D. 7 None 12. Praxis Algebra I (5162) Practice Test: Functions Given the piecewise function \( f(x) = \begin{cases A. 0 B. 1 C. 2 D. None of the above None 13. Praxis Algebra I (5162) Practice Test: Functions What is the domain of the function \( f(x) = \sqrt{9 - x^2} \)? A. \( -3 \leq x \leq 3 \) B. \( x \leq -3 \) or \( x \geq 3 \) C. All real numbers D. \( x > 0 \) None 14. Praxis Algebra I (5162) Practice Test: Functions The function \( f(x) = \frac{2x - 1}{x + 2} \) has what kind of discontinuity at \( x = -2 \)? A. Removable B. Non-removable C. Jump D. Continuous None 15. Praxis Algebra I (5162) Practice Test: Functions For the function \( g(x) = \frac{1}{x - 1} - \frac{2}{x + 1} \), what is \( g(0) \)? A. -1 B. -3 C. 1 D. 3 None 16. Praxis Algebra I (5162) Practice Test: Functions Which of the following is the graph of the function \( f(x) = -|x| + 3 \)? A. An upward-opening V shape intersecting the y-axis at 3 B. A downward-opening V shape intersecting the y-axis at 3 C. An upward-opening parabola with vertex at (0, 3) D. A downward-opening parabola with vertex at (0, 3) None 17. Praxis Algebra I (5162) Practice Test: Functions If \( h(x) = 3^{x+1} \), what is \( h^{-1}(27) \)? A. 2 B. 3 C. 4 D. 5 None 18. Praxis Algebra I (5162) Practice Test: Functions What is the end behavior of the function \( f(x) = x^3 - 2x^2 + x \)? A. As \( x \rightarrow \infty \), \( f(x) \rightarrow \infty \); as \( x \rightarrow -\infty \), \( f(x) \rightarrow -\infty \) B. As \( x \rightarrow \infty \), \( f(x) \rightarrow -\infty \); as \( x \rightarrow -\infty \), \( f(x) \rightarrow \infty \) C. As \( x \rightarrow \infty \), \( f(x) \rightarrow \infty \); as \( x \rightarrow -\infty \), \( f(x) \rightarrow \infty \) D. As \( x \rightarrow \infty \), \( f(x) \rightarrow -\infty \); as \( x \rightarrow -\infty \), \( f(x) \rightarrow -\infty \) None 19. Praxis Algebra I (5162) Practice Test: Functions Which of the following is not a possible output for the function \( f(x) = \frac{x^2 - 4}{x - 2} \)? A. 0 B. 2 C. 4 D. 6 None 20. Praxis Algebra I (5162) Practice Test: Functions If \( f(x) = x^3 + x^2 - x \), what is the coefficient of the \( x^2 \) term in \( f(f(x)) \)? A. 1 B. 2 C. 3 D. 4 None 1 out of 20 Time is Up! Time's up
