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zzz [600]
3 years ago
8

The function intersects its midline at(pi, -4)and has a minimum point at (pi/4, -5.5) what is the formula for f(x)?

Mathematics
1 answer:
ehidna [41]3 years ago
7 0

Answer:

f(x)=\frac{2}{\pi}(x-\pi)-4

Step-by-step explanation:

Given: The function intersects its midline at (\pi,-4) and has a minimum point at (\frac{\pi}{4} ,-5.5)

To find: function f(x)

Solution:

Equation of a line joining points (x_1,y_1),(x_2,y_2) is given by y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Take (x_1,y_1)=(\pi,-4)\,,\,(x_2,y_2)=(\frac{\pi}{4} ,-5.5)

y+4=\frac{-5.5+4}{\frac{\pi}{4}-\pi }(x-\pi)\\ =\frac{-1.5(4)}{-3\pi}(x-\pi)\\ =\frac{2}{\pi}(x-\pi)\\

f(x)=y=\frac{2}{\pi}(x-\pi) -4

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