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Through which point does the graph of f(x) = a raised to the power x always pass?
AThe point (1, 0)
BThe point (0, 1)
CThe point (0, 0)
DThe point (1, 1)
Answer & Solution
Correct answer: B. The point (0, 1)
1. Any allowed base raised to the power 0 gives 1.
2. So the output at an input of 0 is always 1, whatever the base.
3. That places the point (0, 1) on every such graph, which is the y-intercept.
_Source: OpenStax Intermediate Algebra (CC BY 4.0), section 10.2 Evaluate and Graph Exponential Functions_