Question

Consider the piecewise function shown on the graph, which is composed of exponential, linear, and polynomial pieces.

Over the interval [x1, x2], function h is represented by function:
A) An exponential function
B) A linear function
C) A polynomial function
D) None of the above

Function h is a continuous function.
A) Is not
B) Is

As x approaches positive infinity, h approaches:
A) Positive infinity
B) Negative infinity

As x approaches negative infinity, h approaches:
A) Positive infinity
B) Negative infinity

Answer 1

The graph of function h is composed of exponential, linear, and polynomial pieces. Function h is continuous. The behavior of function h as x approaches positive infinity and negative infinity depends on the specific equations for each piece.

Step-by-step explanation:

The graph of function h is composed of exponential, linear, and polynomial pieces, making it a piecewise function. To determine which type of function h is represented by over the interval [x1, x2], we need more information or the specific equations for each piece. Therefore, the correct answer for part A is D) None of the above.

Since function h is continuous, it means that there are no sudden jumps or breaks in the graph. Therefore, the correct answer for part B is B) Is.

As x approaches positive infinity, the behavior of function h depends on the specific exponential, linear, and polynomial pieces. It could approach positive infinity, negative infinity, or a specific finite value. Therefore, the correct answer for part C is D) It depends on the specific equations for each piece.

Similarly, as x approaches negative infinity, the behavior of function h depends on the specific exponential, linear, and polynomial pieces. It could also approach positive infinity, negative infinity, or a specific finite value. Therefore, the correct answer for part D is D) It depends on the specific equations for each piece.