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aivan3 [116]
4 years ago
5

How do you find the range and domain of a function algebraically?

Mathematics
1 answer:
lions [1.4K]4 years ago
5 0
You find the domain of the function by finding all numbers that can't go into the equation. Usually all that prevents this is whether or not it contains a fraction with x on the bottom or a x under a square root symbol. 

The range is found by finding the vertex and noting that it is the minimum or maximum (depending on direction) of the graph. You can find the vertex by using -b/2a for the x value and then plugging in to get y value. 
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Find the 76th term of the arithmetic sequences 16 14 12
grigory [225]

Answer:

a₇₆ = - 134

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 16 and d = a₂ - a₁ = 14 - 16 = - 2, then

a₇₆ = 16 + (75 × - 2) = 16 - 150 = - 134

7 0
3 years ago
Jaila went to the butcher and bought 2.42 pounds of ground beef, ¾ pound of bacon, and 3 pork chops that each weigh .36 of a pou
kirill [66]

Answer: 4.25 pound of meat

Step-by-step explanation:

This is a addition questions, all you have to do is to add the numbers together. But you have to convert all the fractions and decimal to the same thing first. In this case, I'll convert all the fraction to decimal.

2.42 + 0.75 + 0.36  ✕ 3 = 4.25 pound

7 0
3 years ago
For what interval(s) is the function negative?
serious [3.7K]

Answer:

The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero). y-values that are on the x-axis are neither positive nor negative. The x-axis is where y = 0.

Step-by-step explanation:

7 0
3 years ago
Mr. Pennington had a board 2 1/4 feet long. He
Alisiya [41]
Me. Pennington had 6 inches left over.

Explanation.
2 1/4 feet is equal to 27 inches. If he used 21 inches, then he'd had 6 inches left over; 27-21=6.

Have a good day!
7 0
3 years ago
3. Factor the following trinomial. x^2 - 15x + 56.
makkiz [27]

Answer:

(x-7) (x-8)

Step-by-step explanation:

Break the expression into groups:

= x(x-7) -8(x-7)

Factor out x from:

x^2-7x     x(x-7)

Factor out -8 from -8x+56:

-8(x-7)

=x\left(x-7\right)-8\left(x-7\right)

8 0
3 years ago
Read 2 more answers
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