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F-IF.7.e Warmup M1-026-A03-V04

Graph exponential functions and identify intercepts and end behavior; preview logarithmic and trigonometric graph features.

Identify the y-intercept of an exponential function

Problem

For \(h(x)~=~6\cdot~0.5^{x}~-~2\), verify the \(y\)-intercept by substitution, then state the horizontal asymptote, behavior, and range.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-IF.7.e
Category
Functions
Domain
Interpreting Functions
Objective
Graph exponential functions and identify intercepts and end behavior; preview logarithmic and trigonometric graph features.
Problem type
Identify the y-intercept of an exponential function