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College Algebra / Unit 8   Alg 423 short lesson, about 20 seconds

Graphs of Exponential Functions

Captions available

The idea

The graph of f(x) = bˣ passes through (0, 1), has domain all reals and range (0, ∞), and hugs the horizontal asymptote y = 0 on its shrinking side.

In practice

2ˣ runs through (−1, 1/2), (0, 1), (1, 2); far left, 2⁻¹⁰ ≈ 0.001 — near the floor, never on it.

Your place on the trail

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