Let f(x) be defined as below. Evaluate f f(x) dx. X f(x) = 7 9 оо 6 1 ·x 0< x≤2 2 < x≤4 4 < x≤6

Q: Let f (x) + 4. Evaluate f (-8). 2 (2 f(-8) = Number

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A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: 5/4 Evaluate the piecewise-defined function for the given values. (-2x – 3 when x 1 63. f(0)…

A: A detailed solution is given below

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Q: 14. Express f(x) = |x as a piecewise function.

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Q: Using a table, Find f [1.3, 2.4, 3.6] where f (x) = x²

A: For a function, , x is the independent variable and y is the dependent variable.

Q: 1-cos2x/1+sinx=sinx. Prove the identity

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Q: Answer all a

A: Substituting x = -5 in the given functions, we get i).  ii).

Q: let f be the function x²-C for x< 5 flx)=3x+5c for X Z 5

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Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

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Q: 26. State the domain and range of each function below. a) f(x) = 3/5x – 30+4 5 +18 12- 2x b) g(x) =.

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Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: Evaluate the following: ☺ if f(x-j) = 2x²_x²-2x²+x find the value of f ( 7 ). 4

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Q: f(x+h)-f(x) 2. Evaluate h If a. G) f(Vx) b.

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Q: Determine the values of x for which f(x) is continuous. Write the answer in interval notation. if x…

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Q: Let f(x) = -7 + 6x² - x³. The point x = 4 is a critical number of f. Select one: O True O False Give…

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Q: The function f(x)=-(x+3)+2 opens up. O True O False

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Q: Evaluate the piecewise function at the given value of the independent variable f(x) = 3x + 4 -4x+3…

A: NOTE: Refresh your page if you can't see any equations. . the given piecewise function is

Q: If fixgy is continuons and x is connected, then so is f(x). 50

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Q: 58. Show that if f is a function and z = x+h, then f(2) – f(x) _ f(x+ h) – f(x) Z - x h

A: This question is taken from the function in which we have to prove the given equation. We can write…

Q: Given the function f(x) (x+ 4)(x-7) 1o nonin alamos Give the value (or values) for which f(x)IS Not…

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Q: a) For the following functions, f(x)=√√2-x h(t) = t+1 2t² + t-6 2x + 1 x > 3 p(x)= x²₁-1<x<3 -3,…

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Q: I Let f(x) = -12 (1) ² +8. Evaluate f(-7). 22 ƒ(−7) = Number

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Q: For the piecewise function, find the values h(-4), h(3), h(5), and h(7). - 3x - 14, for x < - 4 h(x)…

A: From the given function

Q: What is the domain of if x0 Give the range of f(x) = x< 0 A. (-00, 00) B. (-4, 0) C. (-4, 00) D.…

A: As per guidelines we have to solve three suboarts Since ist two question answer is not in option  So…

Q: if f(x) = { 3x+2, x≤2 x² Select one: O a. 6 Ob. not exist C. 8. O d. 4 then f(2)=

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Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

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Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,

Q: Srena +C, then f (x)%3D x3 If A) True B) False

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Q: 3. Given the piecewise function, find each function value. (1 pt each) a) f(0)= b) f(12) = (x+4)²…

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