Precalculus Practice Test#1: Functions & Transformations

A 20-question practice test with complete step-by-step video solutions, designed for AP Precalculus, High School, and College Precalculus students. --- Topics Covered in Practice Test #1: • Domain and range • Difference quotients • Function composition • Graph transformations • Average rate of change • Inverse functions --- Get the Practice Test & Answer Key:   / free-math-test-1-169230655   Get the Full 10-Test Precalculus Collection:   / 1722797   --- Timestamps: 00:00 Precalculus Practice Test #1 00:50 Q1, Domain and Range from Graph 02:16 Q2, Range of f(x) = 3 - |x + 2| 05:31 Q3, Difference Quotient for f(x) = 3x² - 2x + 1 10:14 Q4, Average Rate of Change of f(x) = x³ - 2x on [1, 1+h] 17:08 Q5, Domain of Composite Function (f ∘ g)(x) 21:48 Q6, Average Rate of Change of f(x) = √(x + 1) on [3, 8] 23:33 Q7, Inverse of f(x) = (2x + 1) / (x - 3) 26:33 Q8, Writing Function Transformations (Vertical Compression & Shifts) 30:01 Q9, Analyzing Transformations of g(x) = -3f(x - 2) + 4 35:35 Q10, Transformed Coordinates of a Point on y = 2f(-x) + 1 39:11 Q11, Determining Odd, Even, or Neither for f(x) = x³ / (x² + 1) 41:17 Q12, Domain of f(x) = √(9 - x²) / (2x + 1) 48:17 Q13, Volume of a Cone as a Function of Base Radius x 52:09 Q14, Asymptotes of Rational Function f(x) = 1 / (x + 3) - 2 56:08 Q15, Horizontal Compression of y = f(2x) 1:06:14 Q16, Range of Transformed Function g(x) = 1/2 f(2x + 3) - 4 1:09:27 Q17, Area of a Rectangle as a Function of Side Length x 1:13:29 Q18, Continuous Function with an Inverse (One-to-One) 1:18:08 Q19, Restricting Domain of f(x) = (x - 2)² + 3 & Finding Inverse 1:21:54 Q20, Identifying Which Function is Not One-to-One 1:24:00 Outro