Q. 535 a) Find f0.b) Find f蟺2.c) Find ... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 3: Q. 535 (page 363)

a) Find $f (0) .$
b) Find $f (\frac{蟺}{2}) .$
c) Find $f (- \frac{3 蟺}{2}) .$
d) Find the values for $x$ when $f (x) = 0 .$
e) Find the $x$ - intercept.
f) Find the $y$ - intercept.
g) Find the domain. Write it in interval notation.
h) Find the range. Write it in interval notation.

Short Answer

Expert verified

Part (a) $f (0) = 0 .$

Part (b) localid="1647327077381" $f (\frac{蟺}{2}) = \frac{1}{\sqrt{2}} .$

Part (c) localid="1647327131836" $f (- \frac{3 蟺}{2}) = 1 .$

Part (d) $x 鈭� [0, 1] .$

Part (e) $x$ intercept is $2 n, n 鈭� z .$

Part (f) $y$ intercept is $0 .$

Part (g) Domain is $(- 鈭�, 鈭�] .$

Part (h) Range is $[0, \frac{蟺}{4}] .$

Step by step solution

Part (a) Step 1. Given information

The given graph is

We need to determine $f (0) .$

Step 2. Simplify

The graph is, $f (x) = \sin x .$

So, $f (0) = \sin 0 .$

$= 0 .$

Part (b) Step 1. Given information

The given graph is,

We need to determine $f (\frac{蟺}{2}) .$

Step 2. Simplify

The graph is $f (x) = \sin x .$

So, $f (\frac{蟺}{2}) = \sin \frac{蟺}{2} .$

$= \frac{1}{\sqrt{2}} .$

Part (c) Step 1. Given information

The given graph is,

We need to determine $f (- \frac{3 蟺}{2}) .$

Step 2. Simplify

The graph is $f (x) = \sin x .$

$f (- \frac{3 蟺}{2}) = \sin (- \frac{3 蟺}{2}) .$

$= 1 .$

Part (d) Step 1. Given information

The given graph is,

We need to determine the values of $x$ when $f (x) = 0 .$

Step 2. Simplify

The graph is $f (x) = \sin x .$

Set $f (x) = 0 .$

$\sin x = 0 .$

So, $x 鈭� [0, 1] .$

Part (e) Step 1. Given information

The given graph is,

We need to determine $x$ - intercept.

Step 2. Conclusion

The $x$ - intercept is $2 n$ where $n 鈭� z .$

Part (f) Step 1. Given information

The given graph is,

We need to write $y$ - intercept.

Step 2. Conclusion

The $y$ - intercept is $0 .$

Part (g) Step 1. Given information

The given graph is,

We need to write the domain.

Step 2. Conclusion

The domain is $(- 鈭�, 鈭�) .$

Part (h) Step 1. Given information

The given graph is

We need to write the range.

Step 2. Conclusion

The range of the graph is $[0, \frac{蟺}{4}] .$

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91影视

a) Find $f (0) .$
b) Find $f (\frac{蟺}{2}) .$
c) Find $f (- \frac{3 蟺}{2}) .$
d) Find the values for $x$ when $f (x) = 0 .$
e) Find the $x$ - intercept.
f) Find the $y$ - intercept.
g) Find the domain. Write it in interval notation.
h) Find the range. Write it in interval notation.

Short Answer

Step by step solution

Part (a) Step 1. Given information

Step 2. Simplify

Part (b) Step 1. Given information

Step 2. Simplify

Part (c) Step 1. Given information

Step 2. Simplify

Part (d) Step 1. Given information

Step 2. Simplify

Part (e) Step 1. Given information

Step 2. Conclusion

Part (f) Step 1. Given information

Step 2. Conclusion

Part (g) Step 1. Given information

Step 2. Conclusion

Part (h) Step 1. Given information

Step 2. Conclusion

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91影视

a) Find f0.b) Find f蟺2.c) Find f-3蟺2.d) Find the values for xwhen fx=0.e) Find the x- intercept.f) Find the y- intercept.g) Find the domain. Write it in interval notation.h) Find the range. Write it in interval notation.

Short Answer

Step by step solution

Part (a) Step 1. Given information

Step 2. Simplify

Part (b) Step 1. Given information

Step 2. Simplify

Part (c) Step 1. Given information

Step 2. Simplify

Part (d) Step 1. Given information

Step 2. Simplify

Part (e) Step 1. Given information

Step 2. Conclusion

Part (f) Step 1. Given information

Step 2. Conclusion

Part (g) Step 1. Given information

Step 2. Conclusion

Part (h) Step 1. Given information

Step 2. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

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Discrete Mathematics

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

a) Find $f (0) .$
b) Find $f (\frac{蟺}{2}) .$
c) Find $f (- \frac{3 蟺}{2}) .$
d) Find the values for $x$ when $f (x) = 0 .$
e) Find the $x$ - intercept.
f) Find the $y$ - intercept.
g) Find the domain. Write it in interval notation.
h) Find the range. Write it in interval notation.