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Lapatulllka [165]
2 years ago
6

Can somebidy give me examples of domain and range?

Mathematics
2 answers:
puteri [66]2 years ago
6 0

Domain = all possible x values

Range = all possible y values

example = Domain: {0, 5), Range: (5,10)

stepladder [879]2 years ago
5 0

Answer:


Step-by-step explanation:

Take a look at the function f(x) = √(x-1).  The input to the square root function MUST be ≥ 0.  Write and solve the inequality x-1 ≥ 0:  

Adding 1 to both sides, we get x ≥ 1, or [1,infinity).  This is the domain, the set of numbers for which f(x) is defined.

The smallest value that f(x) = √(x-1) can take on is 0 (at x=1).  Thus, the range is y≥0. or [0,infinity).  The range is the set of all possible output values of the function with which we are concerned.

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mr Goodwill [35]

Answer:

The coordinates of E are E(x,y) = \left(\frac{9}{2}, 0 \right).

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)] (1)

Where:

O(x,y) - Point of reference.

P(x,y) - Original point.

P'(x,y) - Dilated point.

k - Dilation factor.

By applying this operation, point B becomes point D:

B(x,y) = (0,4), D(x,y) = (0,6)

D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]

D(x,y) = (0,0) + k\cdot (0,4)

(0,6) = (0,0) +(0,4\cdot k)

(0, 6) = (0,4\cdot k)

k = \frac{3}{2}

Lastly, we transform point C into point E by applying the same operation: C(x,y) = (3, 0), O(x,y) = (0,0) and k = \frac{3}{2}

E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]

E(x,y) = \left(\frac{9}{2}, 0 \right)

The coordinates of E are E(x,y) = \left(\frac{9}{2}, 0 \right).

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