In Problems 7–12, sketch the graph of the given function f. Find the y-intercept and the...
7. For each function below, find the intercept(s) (if any) and asymptote(s) (both horizontal and vertical, if any), and then sketch the graph with- out using a calculator; you must properly mark/label the ares, all in- tercept(s), horizontal or vertical asymptote(s) to get full credits: (i) y = 22-1 – 2 (ii) y=1- log2 (x + 2) x-intercept: 2-intercept: y-intercept: y-intercept: Asymptote: Asymptote: Graph: Graph:
1. Given, the rational function below, sketch a neat and labeled graph by filling in each of the blanks with appropriate work: 2x² + 8x f(x)= x-2 a) Domain in intervals b) Equation of vertical asymptote(s), if any c) Equation of horizontal asymptote or slant asymptote, if any (write n and m). d) Ordered pair(s) of point where function touches its horizontal or slant asymptote c) x-intercept(s) and its y-intercept, if any Test for symmetry and state your conclusion
Find the horizontal asymptote of the given function. 35) f(x) - 4x2.3 4x2.3 A) Y-3 C) y - 1 B) y--3 D) None Sketch the graph of the rational function. Indicate the equations of the vertical and horizontal asymptotes and the y-intercept. 40) f(x)* Vertical Asymptote: Horizontal Asymptote y-intercept 36) gix) x2 + 8x - 5 x-5 A) y - 5 C) None B) y = 0 D) y - 8 37)(x) x2.5 A) y = 0 C) None B)...
5. State the dolgain, range, x-intercept(s) y-intercept(s) and asymptote(s) of the given function. (7 marks) y=9(3*) - 1
-100x 1. Given the function f(x)=- (1-0.5x) (a) Find the y-intercept point (if there is any): (b) Find the x-intercept point(s) (if there is any): (c) Find f'(x): (d) Find critical number(s) of f(x) (Type 1 and Type 2, if there are any): (e) Find the critical point(s) (if there are any): (f) Find the open x-intervals where f(x) increases and decreases: (g) Find the behavior of the function for very large positive x-values (find limit as x goes to...
[21 Marks] APPLICATIONS: 1. Sketch the graph of y = -2(0.5) +5. [6] Parent function: y = 0.5 y=-2(0.5)' +5 у у х -3 -2 -1 0 1 х -3 -2 -1 0 1 State the following for the graph y = -2(0.5)* +5 Equation of the horizontal asymptote: y-intercept Range APPLICATIONS: [21 Marks] 1. Sketch the graph of y = -2(0.5)* +5. [6] Parent function: y = 0.5% y = -2(0.5)* +5 у у х -3 -2 -1 0...
200 In Exercises 12 and 13, find (a) domain, (b) x-intercept and y-intercept, (c) lim f(x), lim f(x), lim f(x) or lim f(x) (if possible), where a is point of discontinuity , (d) Interval of increasing and decreasing, (e) interval of concave up and down, (f) show all extreme and inflection points, and (g) sketch the graph. 12. f(x) = 1 13. f(x) = In()
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...
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x25 y= x2-64 intercept (x, y)- relative minimum (x, y)- relative maximum (x, y) point of inflection (x, y)- Find the equations of the asymptotes. (smaller x-value) (larger x-value) (horizontal asymptote) Use a graphing utility to verify your results. O 1/8 points Previous Answers LarCalc9 3.6.009. Analyze and sketch a graph of the function....
Which equation describes this sketch? (Hint: Use the basis sketch of er to find the y-intercept and the horizontal asymptote of each choice.) y 25+ 20+ 15 10+ (0,6) х 3-2-10231 Select the correct answer below: y = el +3 y = et - 5 O y = e' O y=et + 5