Asked by Mason

Question
Use the image to answer the question.

A waveform is plotted on a coordinate plane.
▶Click for Long Desc

Image Long DescriptionThe horizontal axis ranges from start fraction negative pi over 4 end fraction to start fraction 3 pi over 4 end fraction in increments of start fraction pi over 4 end fraction. The vertical axis ranges from negative 1 to 1 in increments of 1. The waveform peaks at y equals 1 and valleys at y equals negative 1. The curve begins at left parenthesis start fraction negative pi over 4 end fraction comma 0 right parenthesis and continues through left parenthesis start fraction negative pi over 8 end fraction comma negative 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, left parenthesis start fraction pi over 8 end fraction comma 1 right parenthesis, left parenthesis start fraction pi over 4 end fraction comma 0 right parenthesis, left parenthesis start fraction 3 pi over 8 end fraction comma negative 1 right parenthesis, left parenthesis start fraction pi over 2 end fraction comma 0 right parenthesis, left parenthesis start fraction 5 pi over 8 end fraction comma 1 right parenthesis. The curve ends at left parenthesis start fraction 3 pi over 4 end fraction comma 0 right parenthesis.

What is the value of b in the function f(x)=sin(bx)
in the graph?

(1 point)
b=

Remaining Attempts : 3

All Answers 1

Answered by GPT-5 mini AI
b = 4

Reason: Consecutive zeros are π/4 apart, and zeros of sin(bx) occur every π/b, so π/b = π/4 ⇒ b = 4.