Name_____________________________________ Date ____________________ Period_______ A4-Graphing Exponential Functions Graph each function on the same set of axes as the parent function. State the functions’ domain, range, intercepts, and asymptote. 1 1) 𝑦 = 2 (3)𝑥 2) 𝑦 = 4𝑥−3 Domain: _________ Domain: _________ Range: __________ Range: __________ Asymptote: ______ Asymptote: ______ x-intercept: ______ x-intercept: ______ y-intercept: ______ y-intercept: ______ 3) 𝑦 = 10𝑥+5 4) 𝑦 = 2𝑥 − 3 Domain: _________ Domain: _________ Range: __________ Range: __________ Asymptote: ______ Asymptote: ______ x-intercept: ______ x-intercept: ______ y-intercept: ______ y-intercept: ______ Without actually graphing describe how the graphs of the following functions are related to the graph 𝒚 = 𝟓𝒙. 5) 𝑦 = −(5)𝑥 6) 𝑦 = 2(5)𝑥 7) 𝑦 = 5𝑥+2 8) 𝑦 = 5𝑥−3 + 2 Match each function with the correct graph. A 9) 𝑦 = 3𝑥 + 1 10) 𝑦 = 3𝑥 − 1 B __________ __________ 11) 𝑦 = 3𝑥−1 + 1 __________ Determine if the statement is sometimes, always, or never true. 12) For any given x-value, the graph of 𝑦 = 10𝑥 lies above the graph of 𝑦 = 2𝑥 . 13) For any given x-value, the y-value of 𝑦 = 2𝑥 is positive. 14) The domain of any exponential function 𝑦 = 𝑏 𝑥 , where 𝑏 > 1, is all real numbers. C