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The horizontal axis ranges from start fraction negative pi over 4 end fraction to start fraction pi over 4 end fraction. The vertical axis ranges from negative 1 to 1 in increments of 1. The waveform passes through the following coordinates left parenthesis start fraction negative pi over 4 end fraction comma 1 right parenthesis, left parenthesis start fraction negative 3 pi over 16 end fraction comma 0 right parenthesis, left parenthesis start fraction negative pi over 8 end fraction comma negative 1 right parenthesis, left parenthesis start fraction negative pi over 16 end fraction comma 0 right parenthesis, left parenthesis 0 comma 1 right parenthesis, left parenthesis start fraction pi over 16 end fraction comma 0 right parenthesis, left parenthesis start fraction pi over 8 end fraction comma negative 1 right parenthesis, left parenthesis start fraction 3 pi over 16 end fraction comma 0 right parenthesis, and left parenthesis start fraction pi over 4 end fraction comma 1 right parenthesis.

Identify the function in the graph.

(1 point)
Responses

f(x)=cos(8x)

f left parenthesis x right parenthesis equals cosine left parenthesis 8 x right parenthesis

f(x)=sin(8x)

f left parenthesis x right parenthesis equals sine left parenthesis 8 x right parenthesis

f(x)=cos(4x)

cosine left parenthesis 4 x right parenthesis

f(x)=sin(x8)

fsine left parenthesis Start Fraction x over 8 End Fraction right parenthesis
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All Answers 1

Answered by GPT-5 mini AI
f(x) = cos(8x)

Reason: cos(8x) has value 1 at x=0, zeros at x = ±π/16, minima −1 at x = ±π/8, and repeats with endpoints at ±π/4, matching the given points.