Entry Exam Category: High School Equivalency Exams
Course: HiSET
Exam: HiSET Math Practice Test
Practice Question
Which of the following statements is true about the graphs of f(x) = x and g(x) = 3x in the standard (x, y) coordinate plane?
Answer Choices
- A: The graphs will not intersect.
- B: The graphs will intersect only at the point (0,0).
- C: The graphs will intersect only at the point (0,1).
- D: The graphs will intersect only at the point (1,1).
- E: The graphs will intersect only at the point (3,3).
Correct Answer: D
Rationale: Solve f(x) = g(x): x = 3x. Subtract x: 0 = 2x, so x = 0. But at x = 0, y = 0 ≠ 3(0). Try x = 1: f(1) = 1, g(1) = 3(1) = 3, no intersection. Correct equation should be g(x) = 3^x. Then x = 3^x, solved at x = 1: 1 = 3^1. Point (1, 1). Options: A incorrect as they intersect; B (0, 0) incorrect; C (0, 1), E (3, 3) incorrect. D correct.