# 3.5E: Transformation of Functions (Exercises)

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For the following exercises, sketch a graph of the given function.

45. $$f(x)=(x-3)^{2}$$
46. $$f(x)=(x+4)^{3}$$
47. $$f(x)=\sqrt{x}+5$$
48. $$f(x)=-x^{3}$$
49. $$f(x)=\sqrt[3]{-x}$$
50. $$f(x)=5 \sqrt{-x}-4$$
51. $$f(x)=4[|x-2|-6]$$
52. $$f(x)=-(x+2)^{2}-1$$

For the following exercises, sketch the graph of the function $$g$$ if the graph of the function $$f$$ is shown Figure $$\PageIndex{1}$$.

53. $$g(x)=f(x-1)$$
54. $$g(x)=3 f(x)$$

For the following exercises, write the equation for the standard function represented by each of the graphs below.

55.

56.

For the following exercises, determine whether each function below is even, odd, or neither.

57. $$f(x)=3 x^{4}$$
58. $$g(x)=\sqrt{x}$$
59. $$h(x)=\frac{1}{x}+3 x$$

For the following exercises, analyze the graph and determine whether the graphed function is even, odd, or neither.

60.

61.

62.

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