8) (a) The diagram is a sketch of y = f(x). y 1 Draw separate one third page sketches of the graphs of the following: (i) f(x) (ii) y = f(x[) (iii) (x)f* = A

Q: 4. a) Ralph thinks that if a function is positive (i.e f(x) > 0) over an interval, then its…

A: Take, f(x)=x2 over an interval [-2,-1] over this interval f(x)>0, but, f'(x)=2x which is strictly…

Q: (III) (IV) 5- (II) (1) -1

A: Given data:     The first equation of the curve is: y=ex. The second equation of the curve is:…

Q: Me) = s.

A:

Q: Ex.2 : Use first derivative , second derivative, and the graph y= x²-4 to asymptotes X-1

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Q: If  f(a)=b,  then which point is on the graph of   f(x)? 1. (f(a),f(b)) 2. (a, b)(a,b) 3.…

A: Given : f(a) = b

Q: The graph below is of a function g'(x) for some function g(x) with domain (-∞0,00). It consists of…

A:

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: Use the following graph of y = f (x) to answer the questions. H 10- |||

A: Graphically, a function is not differentiable when there is a sharp point or there is any…

Q: f(x) is a function such that f"(x) > 0 for x # 0 and f"(0) is undefined. Sketch 2 different graphs…

A: Here we need to plot two functions such that and f''(0) is undefined.In other words f(x) is concave…

Q: Consider the graph of y=g(x). Graph attached below. List the following in ascending order(lowest…

A:

Q: If f'(x) = (2-2x)e(1-x), which of the following statements is true about the graph of f(x)? Select…

A:

Q: 1. Given the function f(x) = x³ - 3x² - 9x + 7, make a sign diagram for the first derivative and…

A:

Q: Starting with the graph of f(x) = 9", write the equation of the graph that results when: (a) f(x) is…

A: f(x) = 9x a) f(x) is shifted 7 units downward, y = (9x - 7)

Q: 1) graph function y = (1/4)(x^2). then without additional computation, graph the following…

A: Given: y=14x2 The objective is to plot a graph for the given function. Let's take the values of x as…

Q: (a) Let h(x) = f(x)/g(x). Find h'(1). (b) Let h(x) = g(f(x)). Find h'(-1).

A: Definition used -           Quotient rule of derivative -…

Q: Sketch a graph of the function f(x) = 2 sin(z) %3D 6+ 5 4 3 -6 -5 -4 -3 -2 -1 -- 6 7 -9 -8 -7 2 3 5…

A: How to solve: make a graph of sin(x) and then transform it one by one:

Q: 5. Sketch the graph of f'(x) on the graph of f(r) provided.

A:

Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: Graph the curve of the function F(x)= sgn([x]+1)

A: Providing a solution to given question assuming the symbol x denotes the floor function . The Floor…

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of…

A: We will use the give solution as we are instructed.

Q: The graph of y = f(x) has f(5) = -3 and f'(5) = -3. Which of the following might be a graph of y =…

A: