Answer:
<u>Option C.</u>
Step-by-step explanation:
See the attached figure which represents the graph of the given options.
To determine if a line represents a valid function, we may use the vertical line test.
If it is touching more than one point on the line at a time, the line is not a valid function.
So, according to the previous rule, the function of figure C is a function and its inverse is also a function.
<u>The answer is option C.</u>
Answer:
Option B is correct
Step-by-step explanation:
Given is a cos funciton.
Period = 3
Max = 20 and minimum =0
Hence centre line is y = 1/2 (max+min)
i.e. y =10 is the central line
Let the funciton be of the form
y = a cos (bx+C)+d
We got d = 10...i
Period =3
Hence b = ... ii
Amplitude = a = distance of max from central line = 20-10 =10...iii
Since reflection over x axis, sign of a =negative
a=-10
Since no horizontal shift, c=0 ... iv
Put to gether the function is