Question

The graph of an exponential function is shown. Based on this graph, which statement about the function is true?

A- The range is the set of all real numbers less than -3
B- The domain is the set of all real numbers less than -3
C- The range is the set of all real numbers greater than -4
D- The domain is the set of all real numbers greater than -4

Answer 1

C- The range is the set of all real numbers greater than -4

Explanation:

You want an appropriate description of a decreasing exponential function with a horizontal asymptote of y = -4.

Range

The range of the function is the vertical extent of its graph. This exponential function extends from y = -4 to y → +∞.

The range is the set of real numbers greater than -4.

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Additional comment

The domain is the horizontal extent of the graph. The arrows on the ends of the curve show it extends to infinity in both directions.

The value y=-4 is not actually part of the range. The function comes arbitrarily close to that value, but is never actually that value.