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10 cards from this deck
Starts steep, less steep as xxx increases, asymptote at x=0x=0x=0.
For y=axy = a^xy=ax, the asymptote is at y=0y = 0y=0.
Shifts 3 units left; asymptote is x=−3x = -3x=−3.
Stretch by scale factor 2 parallel to yyy-axis.
No intersection; approaches zero asymptotically.
The y-intercept is (0,2)(0, 2)(0,2). Since 2×30=22 \times 3^0 = 22×30=2.
Set 2×3x=8x2 \times 3^x = 8^x2×3x=8x to find their intersection point.
Solve x=(1/3)(3−log2(3))x = (1/3)(3 - \log_{2}(3))x=(1/3)(3−log2(3)).
Base 101010 or natural logarithm (base eee) are most common.
The curve falls exponentially as xxx increases.
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