Answer:
The equation that matches the function shown is option;
C.
Step-by-step explanation:
The given graph of the function is a sinusoidal graph
The values of 'x' and 'y' coordinates at the maximum, x-intercept and minimum points are given as follows;
x, y
0 0
π 1
2·π 0
3·π -1
4·π 0
We note that sin(π/2) = 1, sin(π) = 0 sin(3·π/2) = -1, and sin(4·π/2) = sin(2·π) = 0
Therefore;
y = the sine of half the x-value
Which is presented as follows;
.
Option C is correct option.
Step-by-step explanation:
We need to find the solution of
The given inequality becomes undefined when x = 1 because the denomiator is: 1-x and if x = 1 then it becomes 1-1 = 0 and anything divided by zero is undefined.
So, all values other than 1 are included in the solution of the given inequality.
So, solution is: x<1 or x>1 but x≠1
So, Option C is correct because all numbers are included in number line except 1. An unfilled circle on 1 shows that it is not included in the solution. Rest of numbers are included.
Option C is correct option.
Keywords: Solving inequalities
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