Exponential Functions: Basics, Properties, and Foundational Practice

Apuntes

```plaintext Laboratory - Unit 2 Teacher: William Carrillo Signature: Algebra Grade: 8th - HS 03.02 Exponential Equations and Functions CCSS.Math.Content.HSA-CED.A.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CCSS.Math.Content.HSA-CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. CCSS.Math.Content.HSA-SSE.A.1a Interpret parts of an expression, such as terms, factors, and coefficients. Sum It Up • Subtopic: Differences Between Exponential and Linear Functions Exponential functions differ from linear functions in that the rate of change in linear functions is constant, but the rate of change in exponential functions is changing. • Subtopic: Exponential Functions (x, f(x)) = (x, y) Exponential functions: ○ $f(x) = a(b)^x$; where $a$ is the y-intercept and $b$ is the base of the exponential expression. ○ $f(x) = P(1 + r)^t$; where $P$ is the principal amount and $r$ is the rate of change in decimal form. • Subtopic: Power of a Power Pr...