Math Problem Statement
Find the x- and y-intercepts of the given
f(x)=3^(x+1)−4
Solution
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Logarithms
Intercepts
Formulas
y-intercept: f(0) = 3^(0+1) - 4
x-intercept: 0 = 3^(x+1) - 4
logarithmic conversion: x + 1 = log_3(4)
Theorems
Properties of Exponential Functions
Logarithmic Conversion Theorem
Suitable Grade Level
Grades 10-12