1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dem82 [27]
3 years ago
15

H(x) = x3 + 7 Determine whether the function is one-to-one.

Mathematics
1 answer:
zubka84 [21]3 years ago
6 0

Answer:

we conclude that the function is one-to-one.

Step-by-step explanation:

A function will a one-to-one function if it

  • passes the vertical line test to make sure it is indeed a function, and
  • also a horizontal line test to make sure it is it one-to-one.

In other words,

The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.

The reason is that there must be only one x-value for each y-value.

Given the function

h\left(x\right)\:=\:x^3\:+\:7

Have a look at the attached graph.

  • The red portion represents the graph of the function h\left(x\right)\:=\:x^3\:+\:7.
  • The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is indeed a function.
  • The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is a one-to-one function, as there is only one x-value for each y-value.

Therefore, we conclude that the function is one-to-one.

You might be interested in
Which The following radical functions is graphed below
maks197457 [2]

Answer:

Option A

Step-by-step explanation:

From the graph attached,

Vertical asymptote of the given function → x = -4

Horizontal asymptote → y = 0

Oblique asymptote → None

Therefore, graph that has been given in the picture is,

F(x) = \frac{1}{(x+4)^2}

Option (A) will be the answer.

5 0
3 years ago
What two numbers multiply to give 36 but add up to -13
mars1129 [50]
The numbers -9 and -4 add up to -13 and multiply to get 36

I hope this helped :)
5 0
3 years ago
Read 2 more answers
in a certain year a new bed costs 35000. if the rate of inflation was 20% for the next two years what would the same bed cost at
Neko [114]

Answer:

42000

Step-by-step explanation:

First of all, we need to find 20 percent of 35000.

35000×20 / 100 = 7000

now we increase the bed cost by 20 percent.

35000 + 7000 = 42000

7 0
3 years ago
Read 2 more answers
????????????????????
kati45 [8]

Answer:

huh I would help but what the question?

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
PLEASE I WILL GIVE EXTRA POINTS AND BRAINLIEST I PROMIS!!!!!!! I AM DESPERATE PLEASE I AM BEGGING YOU!!!!!!!!!!!!!!!!!!!!!!!
zaharov [31]

Answer:

If you comment fractions I will do them!

Step-by-step explanation:

Across:

A = 46

E = can't see the fraction

H = 2111

I = 64

J = 29

L = can't see the fraction

P = 55005

R = can't see the fraction

S = 21

T = 49

U = 308

V =129

X = can't see the fraction

Y = 4008

Z = 15

BB = 375

EE = 65

FF = 16

GG = 64

Down:

B = 600

C = can't see the fraction

D = 316

G = can't see the fraction

H = can't see the fraction

K = 9520

L = 15010

N = 299

O = 59

Q = 518

T = 4116

U = 333

V = 1006

W = 189

AA = 55

CC = 71

DD = 56

6 0
3 years ago
Other questions:
  • Tiara kept track of the number of good tennis serves that she made in a row.
    13·1 answer
  • You start at (8, 1). You move right 1 unit and left 3 units. Where do you end?
    13·1 answer
  • E-2=13 pls someone help me
    10·2 answers
  • A sequence is defined by the recursive function f(n + 1) = f(n) – 2. If f(1) = 10, what is f(3)?
    9·2 answers
  • Please help will give thanks
    13·1 answer
  • Vanessa was trying to put some files on her flash drive. If she had one file that was 1.9 mb
    10·2 answers
  • A cone and a cylinder have the same height and their bases are congruent circles
    12·1 answer
  • I'LL give brainliest!!
    12·2 answers
  • During first semester, the ratio of the number of students in art class to the number of students in gym class was 2:7. However,
    14·1 answer
  • Sue has 18 sweets.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!