Directions: Sketch the graph of the following piecewise-defined functions by hand. Then, evaluate each function for the specified input values. Then state the domain and range in interval notation. (-(x-1)² + 1 2. f(x) = { Vx – 1 x< 2 2 < x < 6 -4 x 2 6 16 Domain: Range: f(6) = ... 4f (5) = 2f(-3) +3f(6) –f(5) =

Q: Find the intervals on which the function is increasing or decreasing. f(x) = 2x³-6x²2-48x + 12 List…

A: The given function is: fx=2x3-6x2-48x+12. To Find: The intervals on which the function is increasing…

Q: There are 16 bands competing in a battle of the bands to play at the next school dance. After each…

A: After each round of competing the battle of bands to play, the situation is represented by the…

Q: Find the domain of the following function. Give your answer in interval notation. Provide your…

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Q: Consider the function: = f(x) 7x3+7x² + x Step 2 of 2: Evaluateƒ"(-8), ƒ" (-2), and f" (-6), if they…

A: Step 1:To evaluate the second derivative f′′(x) of the function f(x)=7x3+7x2+x, we need to follow…

Q: (x² +3x – 4)(x² –9) h: y=- (x* +x-12)(x+3)

A: The function is  y=(x2+3x-4)(x2-9)(x2+x-12)(x+3)

Q: Find the x-value(s) of the vertical asymp- tote(s) for the function. If there is more than one…

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Q: Q3. Sketch the graph of the function and find domain and range f(x) = 2x² – x+

A: F(x)=2x2-x4

Q: Given the function in the image attatched please find the following values:  A. G(2) B. G(6) C. G…

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

A: gx=x+3        if  x≥-3-x+3   if x&lt;-3 a). g0=0+3         Because, gx=x+3   if  x≥-3 and 0&gt;-3=3…

Q: (x(x+1), if x S-2 f (x) ={ 4x +5, if -2< x<1 - 2x +3, if x 2 1

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Q: х + 40, where 4 b. The temperature (in degrees Fahrenheit) can be approximated by the function c(x)…

A: For a function, y=f(x) , x is the independent variable and y is the dependent variable . Consider…

Q: Evaluate f(-5), (0), and f(3) for the piecewise defined function. - 4 if x < 0 f(x) : if x 2 0 f(-5)…

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Q: f(x) = −5x³ +1 x y -2 -1

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