1 Answer

Chris Peters · Answer 1 · 2019-07-15T11:52:06+0000

Answer:

option C

f(x)=-√(x+3)+8

Explanation:

we have

f(x)=-2√(x-3)+8

using a graphing tool

see the attached figure N

The range is the interval--------> (-∞,8]

$y\leq 8$

case A)
f(x)=√(x-3)-8

using a graphing tool

The range is the interval--------> [-8,∞)

$y\geq -8$

case B)
f(x)=√(x-3)+8

using a graphing tool

The range is the interval--------> [8,∞)

$y\geq 8$

case C)
f(x)=-√(x+3)+8

using a graphing tool

The range is the interval--------> (-∞,8]

$y\leq 8$

case D)
f(x)=-√(x-3)-8

using a graphing tool

The range is the interval--------> (-∞,-8]

$y\leq -8$

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