ACT Math · Functions
Function notation and transformations practice questions
27 free questions with answers and explanations.
- Question 15If f(x) = 2x - 3 and g(x) = x² + 1, what is f(g(2))?
- Question 17If f(x) = x² and g(x) = f(x-3) + 2, what is g(5)?
- Question 18A function is defined as f(x) = 2x+1 if x < 2, and f(x) = x²-3 if x ≥ 2. What is f(2) + f(-1)?
- Question 19If f(x) = (3x-5)/(2), what is f^-1(7)?
- Question 20The function f(x) = -2(x-3)² + 7 has its vertex at (3, 7). What is f(5)?
- Question 55A function is defined by the table below. If the pattern continues, what is f(6)?
- Question 56Is the function f(x) = x^4 - 3x² + 5 even, odd, or neither?
- Question 60What is the range of f(x) = -(x-2)² + 9?
- Question 61What is the minimum value of f(x) = |x + 4| - 3?
- Question 62If f(x) = x² + 1 and g(x) = 2x - 3, what is (f - g)(4)?
- Question 102If f(x) = x² and g(x) = -2f(x+1) + 3, what is g(2)?
- Question 105If f(x) = √(x-3) has domain x ≥ 3 and range y ≥ 0, what is the domain of f^-1(x)?
- Question 141A shipping company charges $5 for packages weighing 2 pounds or less, and $5 plus $1.50 per pound over 2 pounds for heavier…
- Question 142If f(x) = 3x - 1 and g(x) = x² - 4, what is g(f(2))?
- Question 146If f(x) = 2x + 3, what is f(-x)?
- Question 147If f(x) = √(x) and g(x) = x - 5, what is the domain of f(g(x))?
- Question 186A parking garage charges $4 for each hour or partial hour a car is parked. What is the cost to park for 3.5 hours?
- Question 192A cell phone plan charges $30 per month for up to 5 GB of data, plus $10 per additional GB beyond 5 GB. What is the monthly cost…
- Question 239Is f(x) = x³ - 4x even, odd, or neither?
- Question 241If f(x) = x + 2 and g(x) = x - 2, what is (f · g)(5)?
- Question 242The function g(x) = f(x-3) + 5 represents what transformation of f(x)?
- Question 247On what interval is f(x) = (x-2)² + 3 decreasing?
- Question 248A library charges a late fee of $0.25 for each day or partial day a book is overdue. What is the fee for a book that is 4.2 days…
- Question 252If f(x) = 2x/x+1, what is f^-1(x)?
- Question 253A rectangle has length L and width L - 3. If P(L) represents the perimeter as a function of L, what is P(10)?
- Question 254A function satisfies f(2) = 7, f(4) = 13, and f(6) = 19. Assuming this pattern is linear, what is f(8)?
- Question 298Using the formula C = 5/9(F - 32), what is 77°F in degrees Celsius?