Answer:
1) The value of c is given by
2) The value of k is given by
Step-by-step explanation:
Given that function g is defined by , where c is a constant.
To find c:
Also given that value of g(x) at x=0.5 is equal to -1
ie.,
At x=0.5
Therefore
2) Given that function h is defined by , where k is a constant.
To find k:
Also given that value of h(x) at x=20 is equal to 65
ie.,
At x=20
Therefore
The sequence can be represented by , where
is a whole number(
and
is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to
and confirm that there is a whole number x which equals the values selected.
When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.