All categories

2 years ago

What is the domain and range of the function? Domain:

Mathematics

2 answers:

ad-work [718]2 years ago

8 0

It depends on the function

Pie2 years ago

8 0

Answer:

Domain: {x∈R}

Range: {f(x)∈R | f(x) ≥ 0}

Step-by-step explanation:

The domain of a function is, in simple terms, all the possible x values of a function (input values), and as the graph shows that all x values are possible (x, 0 and -x) meaning x can be any rational number, represented by the R and the subset symbol (∈).

The range is all the possible f(x) values (outputs/y values) and if you look at the graph you see that it isn't possible for the f(x)/output/y values to be negative so we write:

{f{x}∈R (f(x)/output/y value is rational) | (and) f(x) ≥ 0 (f(x)/output/y value is bigger or equal to 0, not negative)}

Hope I helped :)

You might be interested in

Write your answer using integers, proper fractions, and improper fractions in the simplest form

sattari [20]

Answer:

y = 1/4 x - 7/2

Step-by-step explanation:

x - 4y = 14

-4y = -x + 14

y = -x/(-4) - 14/4

y = 1/4 x - 7/2

6 0

2 years ago

Find the derivative of

kirill [66]

Answer:

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$
Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$
Simplify: $\displaystyle y' = -3x^{-3}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$
Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$
Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

6 0

2 years ago

Find the value of 4! O A. 24 O B. 16 O C. 12 O D. 10

Alex73 [517]

Answer:

A) 24

Step-by-step explanation:

4 x 3 x 2 x 1

4 0

2 years ago

At a baseball game, a vender sold a combined total of 170 sodas and hot dogs. the number of hot dogs sold was 50 less than the n

Juliette [100K]

Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.

x+y=170 (We know that soda + dogs is 170)

x-50=y (We know that dogs is equal to 50 less than sodas)

We can use substitution to solve this system of equations.

x+y=170

Sub in the value of y from the second equation

x+(x-50)=170

2x-50=170

2x=220

x=110

We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.

x+y=170

110+y=170

y=60

So, there were 60 hotdogs sold and 110 sodas sold.

8 0

2 years ago

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a pers

tino4ka555 [31]

Answer:

19 situps

Step-by-step explanation:

Given that the regression equation to find a a relationship between hours of TV watched per day (x) and number of situps a person can do (y) was done.

The result was

y = ax+b

$y = -1.23x+22.738\\$

Correlation coefficient = 0.865

To predict the number of situps a person who watches 3 hours of TV

y = -1.23(3)+22.738

= 19.048

Approximately 19 situps.

6 0

2 years ago