Use graphing technology to find the range of the function f(x)=1/2x+2
1 answer:
9514 1404 393
Answer:
all real numbers
Step-by-step explanation:
The range of any odd-degree polynomial function is "all real numbers." A linear function has degree 1, so is an odd-degree function. Its range is ...
all real numbers.
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<em>Additional comment</em>
"Graphing technology" can only show you the range is arbitrarily large (within the limits of numbers that can be represented). It cannot tell you that the range has any particular limits.
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calculate the slopes m of the 2 lines using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = C(- 2, 4) and (x₂, y₂ ) = D(0, - 4 )
=
=
= - 4
repeat with (x₁, y₁ ) = F(- 4, 0 ) and (x₂, y₂ ) = G(4, 2 )
=
=
=
The 2 lines are perpendicular because their slopes are negative reciprocals