Find the following and graph it.
(i) Vertex
(ii) Slope
(iii) y-intercept and x-intercept
(iv) domain and range
(v) Increasing and decreasing interval.
Problem 1 :
f(x) = -3│x - 4│ + 3
Problem 2 :
f(x) = -1/2│x - 2│ + 4
Problem 3 :
f(x) = │x - 3│ - 2
Problem 4 :
f(x) = 3│x│
Problem 5 :
y = 3/5 │x│- 6
Problem 6 :
y =│x + 4│
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6)
Graph the following absolute value function by finding the following.
(i) Vertex
(ii) Slope
(iii) Direction of opening
(iv) x and y intercepts
(v) Domain and range
(vi) Increasing and decreasing
Problem 1 :
y = 3|x - 3|
Problem 2 :
y = -|x| + 4
Problem 3 :
y = (4/3) |x + 2| - 5
Problem 4 :
y = -(3/2) |x - 3| + 2
1) Vertex is at (3, 0)
Slope (a) = 3
Direction of opening = open up
x-intercept is at (3, 0)
y-intercept is at (0, 9).
2) Vertex is at (0, 4).
x-intercepts are (4, 0) and (-4, 0).
y-intercept is at (0, 4).
Slope (a) = -1
The curve will open down.
3) Vertex is at (-2, -5).
x-intercept is at (7/4, 0) and (-19/2, 0).
y-intercept (0, -7/3).
Slope (a) = 4/3
The curve will open up.
4) Vertex is at (3, 2).
x-intercept is at (13/3, 0) and (5/3, 0).
y-intercept is (0, -5/2).
Slope (a) = -3/2
The curve will open down.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM