Exponential and Logarithmic Functions
Graph and transform exponential functions; growth/decay models (A=ab^t); solve exponential and logarithmic equations; compound interest; natural exponential (e^x); Richter, pH, decibel word problems.
10 worksheetsRead the explainer →
- 1Evaluate Exponential FunctionsCalculate f(x) = a·b^x for given values of x.adaptive
- 2Graph Exponential Functions (Growth and Decay)Identify growth/decay curves and key features like y-intercept and asymptote.adaptive
- 3Transformations of Exponential FunctionsDescribe the effect of vertical shifts, stretches, and reflections on y = b^x.adaptive
- 4Exponential Growth and Decay ModelsApply A = ab^t to model population growth, investment, and radioactive decay.adaptive
- 5Solve Exponential Equations (Same Base)Solve equations like 2^(x+1) = 16 by expressing both sides with the same base.adaptive
- 6Solve Exponential Equations (Using Logarithms)Apply logarithms to both sides to solve equations like 3^x = 20.adaptive
- 7Solve Logarithmic EquationsSolve equations like log_2(x) = 5 and log(x) + log(x+3) = 1.adaptive
- 8Compound InterestApply A = P(1 + r/n)^(nt) to find the future value of an investment.adaptive
- 9Natural Exponential Function e^xEvaluate e^x, understand e ≈ 2.718, and connect to ln as its inverse.adaptive
- 10Exponential and Logarithmic Word ProblemsApply log scales to Richter, decibel, and pH problems; exponential growth/decay contexts.adaptive