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3 years ago

Use graphing technology to find the domain of the function f(x) = x2.

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

5 0

That is a parabola.

All domain of a parabola are, (-∞,∞).

The range would be, (-∞, 0]

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2. Which of the following graphs show a function with domain 1 ≤ x ≤ 6? Select two that<br> apply.

borishaifa [10]

Answer:

Graphs A and B

Step-by-step explanation:

Graphs A & B are using x-values 1-6 and stop there, which is what the domain is trying to find. Though, for the other graphs, these graphs are rather starting at 1 via the domain, while not going up to 6 on the domain.

7 0

1 year ago

What is the answer???

Sauron [17]

A dice has 6 sides, therefore the chance of landing one a given side is 1/6.

A. 1/6

B. 5/6

6 0

2 years ago

Find the indicated limit, if it exists. (1 point) limit of f of x as x approaches 9 where f of x equals x plus 9 when x is less

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

For the limit of a function to exist, then the right hand limit of the function must be equal to its left hand limit as shown;

If the function is f(x), for f(x) to exist then;

$\lim_{n \to a^{+} } f(x) = \lim_{n \to a^{-} } f(x) = \lim_{n \to a } f(x)$

Given the function;

$f(x) = \left \{ {{x+9\ x$

Lets check if the above statement is true.

The right hand limit of the function occurs at x> 9

f(x) = 9-x

$\lim_{x \to 9+} (9-x)\\= 9-9\\= 0$

The left hand limit occurs at x<9

f(x) = x+9

$\lim_{x \to 9^{-} } (x+9)\\= 9+9\\= 18$

From the above calculation, it can be seen that $\lim_{x \to 9^{+} } f(x) \neq \lim_{x \to 9^{-} } f(x)$ , this shows that the function given does not exist at the given point.

6 0

3 years ago

at Westside high school, 24% of the 215 sixth grade students walk to school. about how many of the sixth grade students walk to

kirill115 [55]

Answer:

about 52 (51.6 to be exact) sixth graders walk to school!

Step-by-step explanation:

1. take 24 and times it by 215

2. divide the above by 100

3. this will give you 51.6

4. round for an approximate value

5 0

3 years ago

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.

mote1985 [20]

Answer:

5 large boxes

3 small boxes

Step-by-step explanation:

Create two equations to represent the problem.

let "a" be the number of small boxes

let "b" be the number of large boxes

20a + 40b = 260 This equation shows the numbers of books

a + b = 8 This equations shows the number of boxes

Solve the system of equations (solve for a and b). We can solve using the substitution method.

Rearrange a + b = 8 to isolate one of the variables.

a = 8 - b New equation that represents "a"

Since we know an equation for "a", we can substitute what "a" equals into the other equation. There will only be one variable in the equation, so we can solve by isolating. Isolate by doing reverse operations.

Substitute "a" for 8 - b

20a + 40b = 260

20(8 - b) + 40b = 260 Distribute 20 over the brackets by multiplying

160 - 20b + 40b = 260 Collect like terms (numbers with same variables)

160 + 20b = 260 Start isolating "b". Subtract 160 from both sides

20b = 260 - 160

20b = 100 Divide both sides by 20

b = 5 Number of large boxes

Substitute "b" for 5 in the simplest equation

a + b = 8

a + 5 = 8 Subtract 5 from both sides to isolate "a"

a = 8 - 5

a = 3 Number of small boxes

Therefore there were 5 large boxes and 3 small boxes sent.

3 0

3 years ago