Q:

Compare the three functions.f(x) = 10xx y0 01 102 20g(x) = 5xx y0 11 52 25h(x) = 4x2 + 5xx y0 01 92 26Select the true statement.A. As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions.B. As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions.C. As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.D. As x approaches positive infinity, it cannot be determined which function will exceed the other two.

Accepted Solution

A:
Answer:B.As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)Step-by-step explanation:We can easily solve this problem if we plot each graph by using a graphing calculator or any plotting tool.1st functionf(x) = 10x2nd functiong(x) = 5^x3rd functionh(x) = 4x^2 + 5xPlease, see attached graph.A.As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions. FALSEB.As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)C.As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.FALSED.As x approaches positive infinity, it cannot be determined which function will exceed the other two.FALSE