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sergiy2304 [10]
3 years ago
8

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer:

f(x)=\sqrt{x-1} -----> Graph C

f(x)=\sqrt{x} -----> Graph A

f(x)=\sqrt{x}-1 -----> Graph B

f(x)=-\sqrt{x} -----> Graph D

f(x)=-\sqrt{x-1} -----> Graph E

Step-by-step explanation:

we have

case a) f(x)=\sqrt{x-1}

Find the domain

we know that

The radicand must be greater than or equal to zero

so

x-1\geq 0

x\geq 1

The domain is the interval -----> [1,∞)

All real numbers greater than or equal to 1

The range is the interval ----->  [0,∞)

All real numbers greater than or equal to 0

case b) f(x)=\sqrt{x}

Find the domain

we know that

The radicand must be greater than or equal to zero

so

x\geq 0

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval ----->  [0,∞)

All real numbers greater than or equal to 0

case c) f(x)=\sqrt{x}-1

Find the domain

we know that

The radicand must be greater than or equal to zero

so

x\geq 0

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval ----->  [-1,∞)

All real numbers greater than or equal to -1

case d) f(x)=-\sqrt{x}

Find the domain

we know that

The radicand must be greater than or equal to zero

so

x\geq 0

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval ----->  (-∞,0]

All real numbers less than or equal to 0

case e) f(x)=-\sqrt{x-1}

Find the domain

we know that

The radicand must be greater than or equal to zero

so

x-1\geq 0

x\geq 1

The domain is the interval -----> [1,∞)

All real numbers greater than or equal to 1

The range is the interval ----->  (-∞,0]

All real numbers less than or equal to 0

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