1) Sketch the graph of each of the following exponential functions. Make sure you label at...
3. Graph each of the exponential functions below. Make a table of values for each one that contains a minimum of 5 points. a. S(x)=4 b. f(x)=e" +1 c. f(x) = 2x+1 d. f(x) = log3x
Use the graph of y=e* and transformations to sketch the exponential function f(x) = new Determine the domain and range. Also, determine the y-intercept, and find the equation of the horizontal asymptote. Use the coordinates of the three points of the graph of y=e* to determine the corresponding points that lie on the graph of f(x) = -ex+6 Points that lie on the graph of y=e Points that lie on the graph of y=e* (-2,5) (0,1) (1,) Corresponding points that...
Sketch a graph of the following functions; assume that x is in degrees and be sure to label your axes. Additionally, give their midline and amplitude. (A.) f(x) = 3 cos(x) — 3 (B.) g(x) = sin(x) + 2 (c.) h(x) = 5 cos(x) – 7 (n.) p(x) = sin(x) + 3
Given ?(?) = ? ? + ?? − ?, determine each of the following: a. The direction in which the graph opens b. The vertex; determine if it is a maximum or a minimum c. The axis of symmetry d. The y-intercept e. The coordinates of any x- intercepts, if they exist f. The domain and range g. Sketch the graph of each, make sure to label important points.
2. Use the information in the charts to answer the following questions and sketch the graph of the function f(x) a) List all the critical points (both coordinates) and classify them as max, min, or neither b) List all the inflection points - ND + + ND - 0 + S. Sketch the graph of each given function by doing the following (box your answer to each of the questions) 1. Determine the domain of the function. Use limits to...
5. Letf(x) = x3 + x2 - x - 1. a. 6 pts Find all critical values off. Show all work. Answers from a graph will not receive full credit. b. 6 pts Make a sign chart for f'(x). c. 4 pts List the x and y coordinates of all local maxima and minima on the graph off. Clearly identify if the point is a maximum or minimum. d. 6 pts Make a sign chart for f'(x). e. 4 pts...
Show all of your work. Label the axes and scale on your graph. The sketch should include at least three . to five points including the points of intersection and at least one point in between The integration techniques used should be clear and easy to follow step by step with all techniques shown in detail, including the substitution method. . . All steps must be shown in your own writing to receive any credit. Circle or box your final...
11. Find the CTFT for the following functions. Sketch and label the magnitude response of each transform. (a) f(t) = една(--t + 1) (b) f(t) = e-31 [u(t + 2) _ u(1-3)| (c), f(t) = e-3n sin (2t).
Sketch the graph of the exponential function. f(x) = 3X Complete the table of coordinates. x -2 -1 0 1 | 2 | y 0.111 0.333 1 3 9 (Simplify your answers. Type integers or fractions.)
TEX Sketch the graph, and include at least two periods for the function without a calculator: f(x) = 4 cos + ) | – 2. Also, indicate the amplitude, period, vertical shift and phase shift for f(x). (8 points) 2 a. Amplitude = b. Period = c. Vertical Shift = d. Phase Shift = e. Sketch graph of y, label at least two distinct points (x, y) on the graph: 61 4 N 2 4 6 8 10 -10 -8...