Algebra 2, Unit 4: Exponential and Logarithmic Functions. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
30 cards · basic cards · AI-written, checked twice. Edit anything.
- What is an exponential function?
- A function of the form f(x) = a times b^x, where b is a positive constant
- What does the base 'b' in an exponential function represent?
- The growth or decay factor
- What does it mean if the base of an exponential function is greater than 1?
- The function represents exponential growth
- What does it mean if the base of an exponential function is between 0 and 1?
- The function represents exponential decay
- What is the general form of an exponential growth model?
- y = a(1 + r)^t
- What is the general form of an exponential decay model?
- y = a(1 - r)^t
- What is the natural base e approximately equal to?
- 2.718
- What is a logarithm?
- The exponent to which a base must be raised to produce a given number
- What is the logarithmic form of b^x = y?
- log_b(y) = x
- What is a common logarithm?
- A logarithm with base 10
- What is a natural logarithm?
- A logarithm with base e, written ln(x)
- What is the inverse function of an exponential function?
- A logarithmic function with the same base
- What is the product rule of logarithms?
- log_b(MN) = log_b(M) + log_b(N)
- What is the quotient rule of logarithms?
- log_b(M/N) = log_b(M) - log_b(N)
- What is the power rule of logarithms?
- log_b(M^p) = p times log_b(M)
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