nly ENRICHMENT ACTIVITY 1 Direction: Determine the value of function and its inverse. Then draw the graph of the function and its inverse using the same set of axes. Label the graphs. 1) f(x) = 2x + 1 2 -2 -1 f(x)

Q: Sketch the graph of f.

A: Consider the given information. fx=ex-2 Make the table for the function. x fx=ex-2 -2 e-4 -1…

Q: Use the transformations on the function f(x) = Ixl to select the correct graph of f(x) = 31x - 11.

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Q: Determine where the graph of each function is concave upward and where it concave downward.  f(x)…

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Q: Find the Green's function: G+ 16G= 8(x-5), G(0,5) = 0 G (2,5) = 0

A: The general solution to the homogeneous equation is Gh​(x)=Acos(4x)+Bsin(4x)Substituting (x=2π​)into…

Q: Describe the transformation of each function compared to its parent function

A: Solve the following

Q: Graph the function f(x) = (x+5)-4 by starting with the graph of y=x2 and using transformations…

A: The graph of y = x2 is given below

Q: Graph the function f(x) = |x +1+2.

A: Given that  f(x) = |x+1| + 2 Basically , it is a combination of graph  y= x+3  and y=-x+2   As ,…

Q: Evaluate piecewise function at the given values of the independent variable.

A: gx=x+3        if  x≥-3-x+3   if x<-3 a). g0=0+3         Because, gx=x+3   if  x≥-3 and 0>-3=3…

Q: Evaluate f(x + 4) for the function f(x) = x - 2x

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Q: Activity #2: Differentiate the following functions. 1. f(x)= -3x² - 4x + 12

A: This question is taken from Derivative in which we have to find the derivative of the given…

Q: y = (x +2)x² - 1

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Q: f(g(-3)) = . g(f(-1) =,

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.