All categories

3 years ago

How do I figure out b,c, and d

Mathematics

2 answers:

Andrews [41]3 years ago

8 0

Answer:

(b) domain: (-∞, ∞)

(d) range: (-∞, 3]

Step-by-step explanation:

(b) The domain is the horizontal extent of the region over which the function is defined. The function f(x) is defined for all x, from -∞ to +∞. The arrowheads on the ends of the graph mean the graph extends to infinity in x and y directions from those points (y goes to -∞, while x goes to ±∞).

(c) Locate the horizontal grid line y=3 on the graph. Find all the points where it intersects the graph. There is only one: (1, 3). That is, x=1 is the only x-value for which f(x) = 3.

(d) The range of the function is its vertical extent. The graph of f(x) extends from y = -∞ up to y = 3, so that is the range.

velikii [3]3 years ago

7 0

Step-by-step explanation:

From the graph:

a) f(3) = ?

The vertical line x = 3 intersect the parabola in the point (3, -1).

Therefore f(3) = -1

b) The domain: the set of all real numbers (R) ⇒ x ∈ (-∞, ∞)

c) f(x) = 3, x = ?

The horizonatal line y = 3 intersect the parabola in the point (1, 3) (vertex).

Therefore x = 1 (f(1) = 3.

d) The domain: y ≤ 3 ⇒ y ∈ (-∞, 3]

You might be interested in

Write The Number 12.1 As A Fraction Is simplest Form

musickatia [10]

$12.1=12+0.1=12+\dfrac{1}{10}=\boxed{12\frac{1}{10}}$

8 0

3 years ago

Help please you don’t know how much this means to me

ICE Princess25 [194]

<h2>Problem 6:</h2><h2>a)</h2>

$a(0) = 1 \: \: \: \: \: \: b(0) = 2 \: \: \: \: \: c(0) = 3 \\ a(1) = b(0) + c(0) = 2 + 3 = 5 \\ b(1) = a(0) + c(0) = 1 + 3 = 4 \\ c(1) = a(0) + b(0) = 1 + 2 = 3 \\ \\ a(2) = b(1) + c(1) = 4 + 3 = 7 \\ b(2) = a(1) + c(1) = 5 + 3 = 8 \\ c(2) = a(1) + b(1) = 5 + 4 = 9$

$a(3) = b(2) + c(2) = 8 + 9 = 17\\ b(3) = a(2) + c(2) =7 + 9 = 16 \\ c(3) = a(2) + b(2) = 7 + 8 = 15 \\ \\ a(4) = b(3) + c(3) = 16 + 15 = 31 \\ b(4) = a(3) + c(3) = 17 + 15 = 32 \\ c(4) = a(3) + b(3) = 17 + 16 = 33$

$a(5) = 32 + 33 = 65 \\ b(5) = 31 + 33 = 64 \\ c(5) =31 + 32 = 63 \\ \\ a(6) = 64 + 63 = 127 \\ b(6) = 65 + 63 = 128 \\ c(6) = 65 + 64 = 129 \\$

$a(7) = 128 + 129 = 257 \\ b(7) = 127 + 129 = 256 \\c (7) = 127 + 128 = 255 \\ \\ a(8) = 256 + 255 = 511 \\ b(8) = 257 + 255 = 512 \\ c(8) = 257 + 256 = 513$

$a(9) = 512 + 513 = 1025 \\ b(9) = 511 + 513 = 1024 \\ c(9) = 511 + 512 = 1023 \\ \\ a(10) = 1024 + 1023 = 2047 \\ b(10) = 1025 + 1023 = 2048 \\ c(10) = 1025 + 1024 = 2049$

$a(n) + b(n) + c(n) = \\ 2(a(n - 1) + b(n - 1) + c(n - 1)) \\ 6 \times 2 {}^{n }$

$6 \times 2 {}^{n} > 100 \: 000 \\ 2 {}^{n} > \frac{100 \: 000}{6} \\ n > log {}^{2} ( \frac{100 \: 000}{6} ) \\ n > 14.02468 \\ n = 15$

<h2 />

5 0

1 year ago

Which ratio is equivalent to the unit rate 30 miles 1 gallon ? How was the unit rate transformed into the equivalent ratio? A) 3

Nataly_w [17]

It will be D by multiplying the numerator and the denominator by the unit rate of 6

5 0

3 years ago

Read 2 more answers

The scientific notation 3.14 • 10^-3 has what value?

meriva

3.14 x 10^-3 = 0.00314...since ur exponent is negative, ur gonna move the decimal 3 spaces to the left...if the exponent would have been positive, u would have moved the decimal 3 spaces to the right.

7 0

3 years ago

Read 2 more answers

Arianna is deciding between two different movie streaming sites to subscribe to. Plan A costs $32 per month plus $1 per movie wa

UNO [17]

Answer:

25 movies

Step-by-step explanation:

First, create the monthly costs for both plans:

Plan A:

A = x + 32

Plan B:

B = 2x + 7

Set these two expressions equal to each other, and solve for x:

x + 32 = 2x + 7

32 = x + 7

25 = x

So, the two plans will have an equal monthly cost after 25 movies.

7 0

3 years ago

Read 2 more answers