Solution:
(a)
f (x + 4) shifts the function 4 units to the left.
f (x) + 1 shifts the function 1 units upward.
(b)
(c)
An asymptote is a line that a curve approaches, but never touches.
Use the function below to answer the following questions. y = log2 (x+4)+1 (a) Use transformations...
Use the function below to answer the following questions. y = -log, x (a) Use transformations of the graph of y = log, x to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
Begin with the graph of y="Use transformations to graph the function. Then determine its domain, range, and horizontal asymptote. 10 Use the graphing tool to graph the function, C 4 2- -10 -8 4 5 Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer.) The domain of f(x)" X-7 (Type your answer in interval notation.) The range of f(x) = 6**? (Type your answer in interval notation.) The horizontal asymptote of f(x) =...
(1 point) The graph of the function f(z-log2(z-1) can be obtained from the graph of g(x)-log2 z by one of the following actions: (a) shifting the graph of g(x) to the right 1 units; (b) shifting the graph of g(x) to the left 1 units; (c) shifting the graph of g(x) upward 1 units; (d) shifting the graph of g(x) downward 1 units Your answer is (input a, b, c, or d) 23 The domain of the function f(z) is...
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Use the given function f to answer parts (a) through (f) below. f(x) = -5+ log2(x-1) (a) Find the domain of t. The domain offis (Type your answer in interval notation.) (b) Choose the correct graph off below. ОА. ОВ. 10 Q Oc. OD Ay o a 10- 10 o Q -10 10 10 10 2 -10 10 (c) From the graph, determine the range and any asymptotes off. The range of fis (Type your answer in interval...
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2. a) Use transformations of the graph of y = 2* to graph y = 2x+2. -2 -5 b) Write the domain and range in interval and set-builder notation. c) Write an equation of the asymptote.
1. Complete the table below for f(x)=3". Use exact values. No work needed. [1.25 points) - 101 y = f(x) 2. Consider the functions gtx)=(13)" and h(x) =--() +4 12.5,1.25, 1.5 points) a) The points given below (in the first column) belong to g(x)= - Perform two b) Use the point found in part a) to sketch a graph of y=h(x). Include the horizontal asymptote as a dashed line. Approximate point placement where necessary. transformations (and show how the points...
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Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function. 9) f(x) = 5x + 3 6 Solve the equation 10) log5 (x + 1) = 1 + log5 (x - 1) +
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...
4. Use the graph of f(x) (see below) to answer the following questions. Estimate to one decimal place when necessary. (a) Find the value(s) of such that f(x) = 1 (b) Find the value of f(x) such that = 2 (e) Find the domain of f(x) (use interval notation) (d) Find the range of f(x) (use interval notation) 5. State the transformation(s) of the following function from its parent/basic function. Then graph the function using those transformation(s). Determine the vertex...
7. The graph of g(x) is given below. State the domain and range of g(x) using interval notation. 9(2) 27 a. (4 pt) Give the domain and range of g(x). DOMAIN RANGE b. (6 pt) Use transformations to draw the graph of y = g( x) +1. 11. Given the polynomial graph below, answer the following. a. (2 pt) is the degree of the function even or odd? Explain how you know. b. (2 pt) is the leading coefficient positive...