Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Sketch the graph of y=2xy = 2^xy=2x and indicate its horizontal asymptote.
Sketch the graph of y=2x+3y = 2^x + 3y=2x+3 and indicate its horizontal asymptote.
Sketch the graph of y=3x−1y = 3^{x-1}y=3x−1 and state its horizontal asymptote.
Sketch the graph of y=−2xy = -2^xy=−2x and state its horizontal asymptote.
Sketch the graph of y=52xy = 5^{2x}y=52x and indicate its horizontal asymptote.
Sketch the graph of y=2x+2−2y = 2^{x+2} - 2y=2x+2−2 and indicate its horizontal asymptote.
Sketch the graph of y=(12)x+1y = \left(\tfrac12\right)^x + 1y=(21)x+1 and state its horizontal asymptote.
Sketch the graph of y=−3x+1y = -3^x + 1y=−3x+1 and indicate its horizontal asymptote.
Sketch the graph of y=4−xy = 4^{-x}y=4−x and state its horizontal asymptote.
Sketch the graph of y=32x−1+2y = 3^{2x-1} + 2y=32x−1+2 and indicate its horizontal asymptote.
Sketch the graph of y=5−x+1−3y = 5^{-x+1} - 3y=5−x+1−3 and state its horizontal asymptote.
Sketch the graph of y=−2x−3+4y = -2^{x-3} + 4y=−2x−3+4 and indicate its horizontal asymptote.
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Question Type 2: Drawing logarithmic functions as inverses of the exponential functions