given f(x)= -3/4x-6 and its domain: (-8, 0, 4) what is the range of the function?
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Answer:
The range of function is { 0, -6, -9}Solution:Given that the function is:[tex]f(x) = \frac{-3}{4}x - 6[/tex]Also given its domain is (-8, 0, 4)To find: Range of the functionDomain of the function is possible input of the function that is "x" and range of the function is possible output of the function that is f(x) Β As there are only three input values for "x" that are (-8, 0, 4) we can determine the range by calculating value of f(x) for each of the xFor x = 8:[tex]f(-8)=\frac{-3}{4} \times(-8)-6=6-6=0[/tex][tex]f(-8)=0[/tex]For x = 0:[tex]\begin{array}{l}{f(0)=\frac{-3}{4} \times(0)-6=-6} \\\\ {f(0)=-6}\end{array}[/tex]For x = 4:[tex]\begin{array}{l}{f(4)=\frac{-3}{4} \times(4)-6=-3-6=-9} \\\\ {f(4)=-9}\end{array}[/tex]Thus the range of function is { 0, -6, -9}
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general
10 months ago
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