Mathematics: Terry has between 50 and 100 pennies and her piggy bank. she can count them two at a time and come out even. she can also count them three and five at a time and come out even. she cannot count them 4 at a time and come out even. how many pennies does she have?

Terry has between 50 and 100 pennies and her

bentonknalige

13.04.2023

Given:

The two functions are $f(x)=-(7)^{x}$ and $g(x)=7^{x}$

We need to determine the statement that describes the domain and range of these two functions.

Domain and range of the function $f(x)=-(7)^{x}$ :

Domain is the set of all independent x - values for which the function is real and well defined.

Since, the function has no undefined points, the domain of the function is $(-\infty, \infty)$

Range is the set of all dependent y - values for which the function is well defined.

The range of the exponential function is of the form $-cn^{a x+b}+k$ is f(x)<k

Thus, f(x)<0

Hence, the range of the function is $(-\infty, 0)$

Domain and range of the function $g(x)=7^{x}$ :

The function has no undefined points and hence, the domain of the function is $(-\infty, \infty)$

The range of the exponential function is of the form $cn^{a x+b}+k$ is f(x)k

Thus, f(x)0

Hence, the range of the function is $(0, \infty)$

Thus, from the functions f(x) and g(x) have the same domain but different ranges.

Hence, Option B is the correct answer.

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