At zero, the value of the function is zero. It then rises to its maximum value, then falls to zero and then to its minimum value and then back to zero.
So, the graph follows the pattern of Sine Function: <span>(B. zero-max-zero-min-zero) starting at the origin. This suggest the coefficient a of the sine function is positive.
Maximum value of the function as seen from the graph is 5, and the minimum value is -5. So the amplitude of the function is 5 and the vertical translation k = 0 as the graph rises equally above and below x-axis.</span>
Answer:
y= 10x-38
Step-by-step explanation:
Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.
Given that m=10,
y= 10x +c
Now substitute the coordinates into the equation.
When y=12, x=5,
12= 10(5) +c
12= 50 +c
c= 12 -50
c= -38
Thus the equation of the line is y= 10x -38
As x heads off to negative infinity (towards the left side), the curve slowly approaches the horizontal line y = 1. It will never actually touch or cross this horizontal line. It simply gets closer and closer. Think of it as an electric fence of sorts.
Therefore the horizontal asymptote is y = 1