Graph each function using a graphing utility. 71. f(x) = x² + 72. f(x) = +1 x3 + 4x² + x – 6 73. (х) %3D x2 - x - 2 х* — х — — 2 x3 + 2x2 - 15x - 15x x2 - 5x - 14 74. f(x) = x3 + 2x2 + 2x - 3x 75. f(x) x2 - 25 76. (1) = - 2|

Q: Let f(x) = 3x2. Find f(3 + h). f(3 + h) = Find (3 + h) – f(3) h f(3 + h) – f(3) Compute f'(3) by…

A: Given; f(x)=3x2

Q: Graph the function f(x) x + 1. 4 2 -5 -4 -3 -2 -1 2 3 4 5 -2 -3 -4 3.

A: Given- fx=15x+1 To Graph- The above function.

Q: The function f (x) = x4 +x2 +x is an evenfunction. Justify your answer.

A: fx=x4+x2+x A function fx is said to be an even function if f-x=fx.

Q: A bulk food storage bin with dimensions 3 feet by 4 feet by 5 feet needs to be increased in size to…

A:

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

A:

Q: (a) Find the critical values and the corresponding function values. (b) State the intervals on which…

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Q: Let f(x) = 3x4 – 8x3 + 6x?.

A:

Q: Is the functionf (x) = 9x² + 4x – 2 linear, quadratic, or exponential? %3D - A. Linear B. Quadratic…

A: Given the function  f(x) = 9x2+4x-2

Q: Graph the function

A:

Q: Graph: R(x) = 2x + 1 / x - 3

A: Given:              R(x)=2x+1x−3

Q: Q2. Maximise f = 34x, +29.x, +32.x, subjected to: 8x, +2.x, + x, < 54 3x, +8x, +2x, <59 * +x, +5x, <…

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Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: If a and b are both positive numbers, which statement is true about the x-intercepts of the function…

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Q: Write a function to model the scenario [y=a (x-h)2 + k]

A: We will find out the required function.

Q: Differentiate the functio

A: We have to differentiate the following function -  f(x) = 2 - 3x + 23x5Formula Used - ddxxn =…

Q: if f(x)= x2-3x-2 which graph could represent f(x)?

A: The given function is fx=x2-3x-2. Draw the graph of the given function. Here we use quadratic…

Q: If f(x) = x²-x+3, then f(-2x) equals A. 4x² - 2x + 3 B. -4x² + 2x + 3 C. 4x² + 2x + 3 D. 2x² + 2x +…

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Q: Find the smallest value of the function f(x) = x³-3x² - 9x + 5 on the domain −4 ≤ x ≤ 4.

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Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

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Q: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…