Below is the graph of a trigonometric function. It has a minimum point at $(-5.4,1.25)$ and a maximum point at $(7.4,6.75)$.

What is the amplitude of the function?
$\square$ units

Question

Below is the graph of a trigonometric function. It has a minimum point at $(-5.4,1.25)$ and a maximum point at $(7.4,6.75)$.

What is the amplitude of the function?
$\square$ units

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the maximum and minimum y-values of the trigonometric function from the graph. ‖ ‖ step 2 ⋮ The maximum y-value is given as $6.75$ and the minimum y-value is given as $1.25$. ‖ ‖ step 3 ⋮ Calculate the amplitude of the function, which is the distance between the maximum and minimum y-values divided by 2. ‖ ‖ step 4 ⋮ The amplitude is $\frac{6.75 - 1.25}{2}$. ‖ ‖ step 5 ⋮ Simplify the calculation to find the amplitude: $\frac{5.5}{2} = 2.75$. ‖ ∻[1] Answer∻ ⚹ The amplitude of the function is $2.75$ units. ⚹ ∻Key Concept∻ ⚹Amplitude of a Trigonometric Function⚹ ∻Explanation∻ ⚹The amplitude of a trigonometric function is the distance from the midline of the function to its maximum or minimum value, which is half the distance between the maximum and minimum y-values of the function.⚹◊What is the formula to calculate the amplitude of a trigonometric function based on the given minimum and maximum points?⍭ Generate me a similar question◊

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