Which of the following statements about f (x) is true f (x) = (5/4) ^x+1

Question

Mathematics

Maddison Lynch

29 January, 16:04

Which of the following statements about f (x) is true f (x) = (5/4) ^x+1

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Marianna · Answer 1

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Step-by-step explanation:

The function f (x) = (5/4) ^x + 1 is an exponential function since the variable is an exponent. It has a base of 5/4 meaning its outputs change constantly as a multiplicative factor of 5/4. The function's initial value is 1 and it has been shifted up. This means while the initial value is 1, it has been shifted up 1 so the y-intercept is 2 or (0,2). The asymptote of the function has also been shifted from the parent's function location at y = 0 to y = 1. The asymptote is a horizontal line which the function never crosses but only approaches.