Find the domain and range of f. (Enter your answers using interval notation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
100%
Find the domain and range of f. (Enter your answers using interval notation.)
A quadratic function fis given.
f(x) = -x² - 4x + 2
(a) Express fin standard form.
f(x) = -(x + 2)² +6
(b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.)
(x, y) = (-2,6
vertex
x-intercepts
y-intercept
O
No
Solution
(c) Sketch a graph of f.
Help
Det
(x, y) =
'
Fill
(x, y) =
(x, y) =
-10 -9 -8 -7 -6 -5 4 -3 -2 -1
X
X
x
10
9
8
7
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
-7
-8
1
-9.
-10
)
(smaller x-value)
) (larger x-value)
2
3
4
5
6
7
8
9
9 10
Graph Lay
After you
can use G
properties
Transcribed Image Text:A quadratic function fis given. f(x) = -x² - 4x + 2 (a) Express fin standard form. f(x) = -(x + 2)² +6 (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) (x, y) = (-2,6 vertex x-intercepts y-intercept O No Solution (c) Sketch a graph of f. Help Det (x, y) = ' Fill (x, y) = (x, y) = -10 -9 -8 -7 -6 -5 4 -3 -2 -1 X X x 10 9 8 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 1 -9. -10 ) (smaller x-value) ) (larger x-value) 2 3 4 5 6 7 8 9 9 10 Graph Lay After you can use G properties
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