AP Precalculus
AP Precalc 2.7–2.9: Set C Mock Concept Check
Shared by Ashton · Nov 12, 2026 · 0 plays
A mock Concept Check 2.7–2.9 in the AP style: compositions across graphs, tables and piecewise rules, "if possible" questions, inverses from tables and graphs, and logarithms. 16 questions with an explanation for every choice.
16 questions across 3 sections. After every answer you’ll see why each choice is right or wrong, not just the one you picked.
Sample questions
Open a question to see the answer choices and the correct answer.
Find $f(g(3))$, if possible.
- A. Not defined
- B. −2
- C. 0
- D. 1 ✓
Correct answer: D. G(3) = 0 from the table, then f(0) = 1 from the graph.
Find $(h \circ g)(-2)$, if possible.
- A. 8
- B. 3
- C. 0
- D. 9 ✓
Correct answer: D. G(−2) = 3. Since 3 ≥ 0, use h(x) = 2x + 3: h(3) = 9.
Find $(f \circ h)(2)$, if possible.
- A. 7
- B. −4 (extend f's last segment)
- C. Not defined ✓
- D. 1
Correct answer: C. H(2) = 2(2) + 3 = 7, and f is only defined on [−3, 5].
Find $(f \circ f)(-1)$, if possible.
- A. 4
- B. 2
- C. −1
- D. 1 ✓
Correct answer: D. F(−1) = 2 on the segment from (−3, 4) to (0, 1). Then f(2) = 1.
Find $(h \circ f)(-3)$, if possible.
- A. 11 ✓
- B. 4
- C. 15
- D. Not defined
Correct answer: A. F(−3) = 4. Since 4 ≥ 0, h(4) = 2(4) + 3 = 11.