5. State the dolgain, range, x-intercept(s) y-intercept(s) and asymptote(s) of the given function. (7 marks) y=9(3*)...
State the domain, range, x-intercept(s), y-intercept(s) and asymptote(s) of the given function. https://i.gyazo.com/ad9395dfa1f76d9e60f1346b476bc1ad.png
. y-Intercept: Asymptote: 11. f(x)= 36*+5 Domain: Range: End Behavior: As x→0, S(x)→ As x→--. f(x) y-intercept: Asymptote: Gina Wilson (All Things Algebra), 2015
In Problems 7–12, sketch the graph of the given function f. Find the y-intercept and the horizontal asymptote of the graph. State whether the function is increasing or decreasing. 7. f(x) = -5 + 3 9. f(x) = 3 - ()' 11. f(x) = -1 +er-3
For the following function, find the hole, x-intercept, y-intercept, vertical asymptote, horizontal asymptote, and oblique asymptote. If something doesn't exist, enter NONE (in all caps). $(x) = 42 hole (,Y):( x-intercept (x, y):( , y-intercept (x, y):( vertical asymptote: vertical asymptote: horizontal asymptote: oblique asymptote:
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:
[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...
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)...
Given g(x)=3* +3 State the equation of the asymptote. Determine the domain and range of g(x). What is the equation of the horizontal asymptote of g(x) = 3* + 3? y= What is the domain of g(x) = 3* +3? (Type your answer in interval notation.) What is the range of g(x) = 3* +39 (Type your answer in interval notation.)
Graph by analyzing the given rational function: R(x) = -1 Domain: Rin lowest terms: x-intercept(s) and its multiplicity (cross or touch): y-intercept(s): Vertical asymptote(s), if any. Determine the behavior of the graph of R on either side of each vertical asymptote. Horizontal asymptote or oblique asymptote, if any: Additional points
Determine the domain, range, and horizontal asymptote of the function. f(x) = e-* + 3 o domain: (-00, 0); range: (3,0) horizontal asymptote: x = 3 o domain: (3, 0); range: (-00,00) horizontal asymptote: y = 3 o domain: (-0, 0); range: (-00,00) horizontal asymptote: None O domain: (-0, 0); range: (3, 0) horizontal asymptote: y = 3 O None of these