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(1 point) The graph of the function f(z-log2(z-1) can be obtained from the graph of g(x)-log2...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm
g) Sketch the graph...
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 = log2 (x+4)+1 (a) Use transformations of the graph of y = log2 x to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
please help! Use the given function f to answer parts (a) through (f) below. f(x) =...
please help!
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...
(1 point) Find a formula for a function g(x) whose graph is obtained from f(x) by...
(1 point) Find a formula for a function g(x) whose graph is obtained from f(x) by horizontally stretching by a factor of 7, reflecting across the z-axis, and shifting down 5 units. g(x) = |-7abs(x)-5
Consider the given function f(x) = 19 4 (a) Determine whether the graph of the parabola...
Consider the given function f(x) = 19 4 (a) Determine whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s). (e) Sketch the function. (1) Determine the axis of symmetry. (9) Determine the minimum or maximum value of the function. (h) Write the domain and range in interval notation. Write your answers in exact form. Part: 0 / 9 Part 1 of 9 (a) Determine whether the graph...
1.Let g(x) = log3(x +3)-1 . d. (3 pts) f(8)-3, the corresponding point on the graph of f(x)is.H...
please show work
1.Let g(x) = log3(x +3)-1 . d. (3 pts) f(8)-3, the corresponding point on the graph of f(x)is.H The transformed point on the graph of g(x) is . e. (2 pts) Find the domain and the range. Write in interval notation. 1d. point on f(x): point on g(x): f. (1 pt) What is the vertical asymptote? That is, as x→ 1e. D: R: 1f. 8. (5 pts) Find the equation of the inverse, g(x). 1g.
1.Let g(x)...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function....
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
You are given the graph of a function f.
You are given the graph of a function f. Determine the intervals where the graph of f is concave upward and where it is concave downward. (Enter your answers using interval notation.) concave upward _______ concave downward _______ Find the inflection point of f. (If an answer does not exist, enter DNE.)
can you do the odd #'s In Exercises 64 -69, sketch the graph of y g(x)...
can you do the odd #'s
In Exercises 64 -69, sketch the graph of y g(x) by starting with the graph of y f(x) and using transformations. Track at least three points of your choice and the vertical asymptote through the transformations. State the domain and range of g. 64. f(r)=log2(x), g(x) = log2 (ar +1) 65. f(r) log (), g() log () +1 66. f() log3 (r), g(x)-log3(x - 2) 67. f(x) log(ax), g(x) 2 log(x + 20) -1...
Find f+g, f-g, fg, and f/g and their domains. f(x) = 4 – x, g(x) =...
Find f+g, f-g, fg, and f/g and their domains. f(x) = 4 – x, g(x) = x2 – 3x Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (f - g)(x). Find the domain of (f - g)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (6)«). Find the domain of (x). (Enter your answer using interval notation.) Consider...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm
g) Sketch the graph...
Use the function below to answer the following questions. y = log2 (x+4)+1 (a) Use transformations of the graph of y = log2 x to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
please help!
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...
(1 point) Find a formula for a function g(x) whose graph is obtained from f(x) by horizontally stretching by a factor of 7, reflecting across the z-axis, and shifting down 5 units. g(x) = |-7abs(x)-5
Consider the given function f(x) = 19 4 (a) Determine whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s). (e) Sketch the function. (1) Determine the axis of symmetry. (9) Determine the minimum or maximum value of the function. (h) Write the domain and range in interval notation. Write your answers in exact form. Part: 0 / 9 Part 1 of 9 (a) Determine whether the graph...
please show work
1.Let g(x) = log3(x +3)-1 . d. (3 pts) f(8)-3, the corresponding point on the graph of f(x)is.H The transformed point on the graph of g(x) is . e. (2 pts) Find the domain and the range. Write in interval notation. 1d. point on f(x): point on g(x): f. (1 pt) What is the vertical asymptote? That is, as x→ 1e. D: R: 1f. 8. (5 pts) Find the equation of the inverse, g(x). 1g.
1.Let g(x)...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
can you do the odd #'s
In Exercises 64 -69, sketch the graph of y g(x) by starting with the graph of y f(x) and using transformations. Track at least three points of your choice and the vertical asymptote through the transformations. State the domain and range of g. 64. f(r)=log2(x), g(x) = log2 (ar +1) 65. f(r) log (), g() log () +1 66. f() log3 (r), g(x)-log3(x - 2) 67. f(x) log(ax), g(x) 2 log(x + 20) -1...
Find f+g, f-g, fg, and f/g and their domains. f(x) = 4 – x, g(x) = x2 – 3x Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (f - g)(x). Find the domain of (f - g)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (6)«). Find the domain of (x). (Enter your answer using interval notation.) Consider...
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