Answer the questions about the following function a Is the p

Answer the questions about the following function (a) Is the point (-5,1) on the g 10x2 fx)+25 O Yes No (a) Is the point (-5,1) on the graph of f? (b) If x=3, what is f(x)? what point is on the graph of f? (c) If f(x) = 1 , what is x? what point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercept(s), if any, of the graph of f () List the y-intercept, if any, of the graph of f. (b) If x = 3, what is f(x)? f(3) = (Type an integer or a simplified fract Use this information to list a point on Click to select your answer(s).

Solution

a) for point ( -5, 1)

put x= -5 and if f(x) equals y then the points lie on the graph.

so putting x= -5

f(x) = 10 ( -5)² / (-5)⁴+ 25

      = 50/50

      =1 i.e. equal to y co ordinate

so the point lies on the graph.

b) putting x= 3

f(x) = 10( 3)² / 3⁴ + 25

      = 90/106

      = 45/53

c) as in option a , f(x)= 1 then x equals -5

d) D= ( -, + )

because for the given function, infinity is not possible.

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