QUESTION IMAGE
Question
ponential growth functions
what are the domain and range of the function on the graph?
the domain includes all integers, and the range is $y > 0$
the domain includes all integers, and the range is $y \geq 0$
the domain includes all real numbers, and the range is $y > 0$
the domain includes all real numbers, and the range is $y \geq 0$
Brief Explanations
- Domain Analysis: The graph is a smooth, unbroken exponential curve that extends infinitely left and right along the x-axis, with no gaps or restrictions. This means it accepts all real number inputs for x.
- Range Analysis: The curve lies entirely above the x-axis ($y=0$), approaching but never touching or crossing it. All y-values are positive, so $y > 0$.
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The domain includes all real numbers, and the range is $y > 0$