Q.1. Which of the following function is even ? 4 _A) f₁(x) = x² + x³ -B) £₂ (X) = x² + x² + x³ c) £3 (X) = 4x² + 2x² -el) fy(x) = 5x³ +6:X

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

A:

Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: 15) Evaluate each function given that f(x) = 3x? – 2x and g(x) = -8x – x. Give your answer in…

A:

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

A:

Q: can you explain for what values of x is f(x)=x3-9x2+9x concave up?

A:

Q: Let f(x) = 3x4 – 8x3 + 6x?.

A:

Q: Sketch the function f(x) = 2x(x + 3)²(x-4) -3-2 3

A: The given function .We have to sketch a graph of the function.

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

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: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

A:

Q: Please determine the domain of the function

A:

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

A:

Q: 5. Use the function f(x) = x³ + 2x² + x - 2, create a table with 8 inputs and outputs. Complete the…

A: