Precalculus Unit 1 Cheat Sheet, Study notes of Pre-Calculus

Download Precalculus Unit 1 Cheat Sheet and more Study notes Pre-Calculus in PDF only on Docsity! Precalculus Unit 1 Cheat Sheet 1 Parent Functions Transformations Key Features of Functions Function Value Domain/Range Increasing/Decreasing Y-intercept/Zeros/Roots Given 𝑔(𝑥) = 3𝑥 + 7 Solve for 𝑔(4) Take the value inside parameters (the parenthesis) and plug in every time you see your variable 𝑔(𝟒) = 3(𝟒) + 7 𝑔(4) = 19 Domain: values of X that the function can have Range: values of Y that the function can have Increasing (Directly Proportional): 𝑎𝑠 𝑦 ↑, 𝑡ℎ𝑒𝑛 𝑥 ↑ 𝑎𝑠 𝑦 ↓, 𝑡ℎ𝑒𝑛 𝑥 ↓ Decreasing (Indirectly Proportional): 𝑎𝑠 𝑦 ↓, 𝑡ℎ𝑒𝑛 𝑥 ↑ 𝑎𝑠 𝑦 ↑, 𝑡ℎ𝑒𝑛 𝑥 ↓ y-intercept: Where the function hits the y-axis. It should be in the form (0, 𝑦) zero: Where the funciton hits the x-axis. It should be in the form (𝑥, 0) Symmetry and Even/Odd Property Testing Symmetry Use the following test. If you return the EXACT same equation, it has symmetry “with respect to” the test x-axis Replace 𝑦 → −𝑦 y-axis Replace 𝑥 → −𝑥 origin Replace 𝑦 → −𝑦 Replace 𝑥 → −𝑥