Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. she makes these two statements: 1. as x increases infinitely, the y-values are continually doubled for each single increase in x. 2. as x decreases infinitely, the y-values are continually halved for each single decrease in x. she concludes that there are no limits within the set of real numbers on the range of this exponential function. which best explains the accuracy of geraldine's statements and her conclusion? statement 1 is incorrect because the y-values are increased by 2, not doubled. statement 2 is incorrect because the y-values are doubled, not halved. the conclusion is incorrect because the range is limited to the set of integers. the conclusion is incorrect because the range is limited to the set of positive real numbers.

a. she will receive a refund of $278.

step-by-step explanation:

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greater than one

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week