(b) The graph of g(x) is given below on the left. Sketch a possible graph of g' (x) on the right. 51 5 4 3 2 2 3 4 5 -5 0 5 -5 -4 -3 2 -1 0 1 -1 -2 -3 -4 -5
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- 1-Find g(x) from the graph? 2-The second picture,Explain how the graph of g is obtained from the graph of f?Can you help me sketch a graph of g(x) and clearly indicate on the graph where the relative extrema occurs? g(x) = x^3 - 6x^2 + 111. The graph of y=cscx has zeroes at? ( does it not cross the x-axis?) 2. What is the equation for the graph shown? 3. What are the asymptotes of y=4⋅csc(2x+π/2) ?
- Sketch the graph of ƒ(x) = e2/x.True or False. The graph y= -1/6tan(x/2+pi) has an asymptote at x= -7pi(a) Suppose we shift the graph of f vertically downwards by h units such that the maximum turning points (vertices) of the resulting graph lie one unit below the x-axis. What is the value of h? (b) Suppose we shift the graph of g vertically upwards by l units such that the part of the graph of g that lies below the x-axis results in touching the x-axis. What is the value of l?
- continuous from attached image... ... to the graph of y2 - 3x + 2 = 0. (do not simplify or evaluate)(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.Graph f(x) = 2 cos x, g(x) = cos 2x, h(x) = ( f + g)(x) in the same rectangular coordinate system for 0 ≤ x ≤ 2π. Obtain the graph of h by adding or subtracting the corresponding y-co-ordinates on the graphs of f and g.
- 5) Investigate the family of curves of f(x)=ln(x^2+c).What happens to the inflection points and asymptotes as c changes / Graph several members of the family to illustrate what you discover.(a) Consider the graphs of y1 = f(x) and y2 = f(2x + 7). Make a prediction about how these graphs are related. In particular what does the graph of y2 = f(2x + 7) look like in comparison to y1 = f(x)? (b) Suppose that, in addition, we know that f(x) = x2. Graph y1 = f(x) and y2 = f(2x + 7). Make sure you measure the horizontal distance between the vertices of the two graphs. How do your findings fit with your expectations from part a)Consider the graph of y= ln(x+d) where d is a positive constant. If we increase the value of d what effect does it have on: *the vertical asymptote of the graph? * y- intercept of the graph * x- intercept of the graph