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Semester 1 Chapter 0: Algebra 2 Review Vocabulary Review Concept Review Chapter 1: Functions and Their Graphs Sec 1.1 - Lines in the Plane Notes Wksht 1.1 Sec 1.1.5 - Domain and Range Notes Wksht 1.1.5 Sec 1.2 - Functions Notes Wksht 1.2 Sec 1.3 - Graphs of Functions Notes Wksht 1.3a Wksht 1.3b Sec 1.4 - Shifting, Reflecting, and ... The fundamental trigonometric functions are shown in the examples provided with relation to specific scenarios. The Pythagorean identities are derived with the knowledge of one of them. Difference and sum identities of the sine, cosine and tangent functions are shown in this tutorial. $$ y=3^x $$ $$ f(x)=4.5^x $$ $$ y=2^{x+1} $$ The general exponential function looks like this: \( \large y=b^x\), where the base b is any positive constant. The base b could be 1, but remember that 1 to any power is just 1, so it's a particularly boring exponential function! Let's try some examples: Example 1. Solve for x: \(4=2^x\) 3.2.1 Cumulative Distribution Function. The PMF is one way to describe the distribution of a discrete random variable. As we will see later on, PMF . In particular, we can write FX(xk)−FX(xk−ϵ)=PX(xk), For ϵ>0 small enough. Thus, the CDF is always a non-decreasing function, i.e., if y≥x.