Consider the exponential function .

MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Consider the exponential function f(x)=3(0.8)xf(x)=3(0.8)^{x}. (i) State the domain and range of ff. (ii) Determine whether ff is increasing or decreasing. Give a reason for your answer based on the base of the exponent. (iii) Without converting to decimals, decide which value is larger, f(−2)f(-2) or f(1)f(1), and justify your conclusion briefly.

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