Determine the domain and range of the function. Also describe translation to vertex. (picture)

Mathematics

1 answer:

Dafna1 [17]3 years ago

5 0

Domain: all reals
If you need it in interval notation, its (-[infinity symbol], [infinity symbol])
If that last part confused you, ignore it because it means you just need to write all reals.
Pretty sure all of them have the same answer in this regard.

Range: y is greater than or equal to the last value in the equation.
For example: for 7 it would be y is greater than/equal to -6.

Translations:
4: shifted right 3
5: shifted down 7
6: shifted up 4
7:: left 1, down 6.

Any time you have an (x-n) n just being a letter I substituted for a number, the graph will be moved right n spaces from the origin. (x+n) moves it left.
If there are no parentheses, it means the graph is moved up or down, a minus indicating the graph being moved down by the number and a plus indicated it being moved up by the number.

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Solve: x^2 - 7x = -13

Reika [66]

There are a various of ways solve this expression. We can choose to do completing the square method or to use the quadratic formula. In this case, I will choose to do completing the square. We do as follows:

x^2 - 7x = -13
x^2 - 7x + 49/2= -13 + 49/2
(x - 7/2)^2= 23/2
√[(x - 7/2)^2]= √(23/2)
x-7/2 = √46 / 2
x = √46 / 2 + 7/2

Hope this answers the question. Have a nice day.

3 0

3 years ago

The parent of a constant function is: a. f(x)=c. b. f(x)=cx. c. f(x)= x

Sonja [21]

Answer:

For what value of the constant c is the function f continuous on (-infinity, infinity)?

f(x)

=cx2 + 8x if x < 3

=x3 ? cx if x ? 3

Step-by-step explanation:

7 0

4 years ago