For Problems 15-24, find the inverse transform of the given function and sketch their graphs. 15. 16. ² 17. S 3 18. s² + e-41 19. s+4 20. (s + 4)² 21. s(s + 1)

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: how do i graph (steps) f(x)=x^2-4x ?

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Q: 1. Use the graph below to answer the following questions. y X = -1, x = -2, x = -3, f(-1)=2 F(-2)=2…

A: The domain of a function is the set of values that we are allowed to put into our function which is…

Q: Draw the graph of f ( x ) = ( − x + 1 ) ^2

A: F(x) (-x+1)2

Q: Illustrate the shape of the graph f(x) = x^n where n is a positive integer?

A: We have the given function We need to be able to graph the function.

Q: What is the equation of the line tangent to the graph of y = x(1-2x)^3 at the point (-1,1)?

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Q: The graph in the picture below shows the function f(x) = 2^x+2 a) on the same coordinated grid…

A: The equation of g(x) = 2x+2 -2And the graph is given belowExplanation:Concept :  Scaling:−when you…

Q: Is the equation( e^2x) + (xcosx) +(-2) =0 has real roots ?

A: Using mean value theorem for continuous functions

Q: f(x)=-4x+2/(x+1)^2(x+5) Sketch the graph label the xintercepts and the y intercept.

A: Given that, the function is fx=-4x+2x+12x+5.

Q: Part 1) Use the given graph of the function f to find the following values for f^−1. 1. f^−1 (−4)=…

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Q: Which of the following is the graph of f(x)=^3sqaure root of -5x in the image shown and what is…

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Q: given: f(x)={(x^(2)+1 if x>-1),(2x if x<=-2)} a) draw an accurate graph of f(x). b) f(1) c)…

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Q: 4y Ay 2. 4. 2. 2.

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Q: Graph f(y)=y^2(1-y)

A: Domain

Q: Given the function Y= X^2 graph it by origin, draw the graphics of g = X^2 + 4 and the of h= X^2 - 2

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Q: all the relative extreme points and inflection points for the graph of y = 1 + 3x^2 − x^3

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Q: Graph the following functions: Y 3^X Y = -3^(-X) Y = e^X

A: Given function we plot the graph . Here i attached solution of this question.

Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

Q: Let k > 0 be a constant number. Sketch and name the graph of the equation k^2 y^2 − 4k^2x + 4z^2 = 0

A: Given: k2y2-4k2x+4z2=0

Q: Describe how the graph of y=-2f[3(x–4)]-5 can be obtained from the graph of f(x) = x*. to use full…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n…