Identify the domain, range, y-intercept, and asymptote of an exponential function. y=11^x
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7-16 – Graphing Exponential Functions Graph the function, not by plotting points, but by starting from the graph of y = e in Figure 1. State the domain, range, and asymptote. 11. y = e-*-1
Exponential Graphs IV. Logarithm Graphs y=loght or y=lnx Domain: Domain: Range: Range: Intercept: y-intercept Find the Domain: asymptote: HA 1 y=logs(x-2) 2) y = log (x+3) 3) y = log2 (-x) 4) y = Inx+3
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...
. 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
State the domain, range, x-intercept(s), y-intercept(s) and asymptote(s) of the given function. https://i.gyazo.com/ad9395dfa1f76d9e60f1346b476bc1ad.png
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept...
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b) g(x) = 2 find 2 + 1 3.12 (c) h(x) = T .x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all r-intercept(s) (if any); (v) all y-intercept(s) (if any). Write yotir answers in the following table: ydir polynomial domain Vertical Asymptote Horizontal...
2. Using your knowledge of inverses, prepare a table of values for the inverse of the function in problem #1. Use the table you filled out above to help! Graph the inverse on the same coordinate system as the function above. Label each graph appropriately as f(x) or f'(x). Answer the following for the inverse function: The equation of the inverse is f'(x) = х y Domain Range coordinates of the x-intercept equation of the asymptote You must show all...
(4 points) Consider the exponential equation y = e-*. (a) Determine whether its graph has a horizontal asymptote or a vertical asymptote. In each answer blank enter an equation x = k or y = k for some number k, or, enter NONE if its graph does not have that type of asymptote. The graph has a vertical asymptote with equation help (equations) The graph has a horizontal asymptote with equation help (equations) (b) Determine whether its graph has an...
Find the intercepts and asymptotes. (If an answer does not edit, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary) 5x - 15 x-intercept (4,- ( y-intercept vertical asymptote(s) horizontal asymptote Sketch a graph of the rational function - 15 -10 -15 - 10 10 5 10 15 TO 10 -10 -10 State the domain and range. Use a graphing device to confirm your answer. (Enter your answers using interval notation.) domain range