Trigonometry Graph Features (FIF1)

If ( x ) represents an angle measured in radians, (a)   increases over the interval ( 0 ≤ x ≤ π ).​ ​

• f(x) = sin(x/2)
• f(x) = cos(x)
• f(x) = cos((x/2))
• f(x) = sinx

Match the following equations with their maximum values on the interval (0 ≤ x ≤ 2π).

• Maximum value is 5

• y = 5 sin(x)

• Maximum value is 1

• y = sin(x)+5

• Maximum value is 6.

• y = sin(5x)

• Maximum value is 0.2

• y = (sin(x)/5)

On which of the following intervals is the function f(x) = cos((1/2)x) increasing?

• 0 < x < π

• 0 < x < 2π

• π < x < 4π

• 2π < x < 4π

With which of the following is the graph of y = sin(x) symmetric?

• the x-axis

• the y-axis

• the line y = x

• the point (0,0)

Which of the following functions increases the most over the interval ( 0 ≤ x ≤ π )?

• f(x) = 2 sin(x)

• f(x) = sin(x)

• f(x) = sin((x/2))

• f(x) = sin(x) + 2

What will be the amplitude of the image of the graph of the function f(x) = 2 sin(3x) after a dilation of a scale factor of 2?

(a)  

• A) 1

• B) 2

• C) 4

• D) 8

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• 
• 
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• A) -3/4

• B) -4/3

• C) -4/5

• D) -3/5

Which of the following functions does not have an asymptote?

• A) f(x) = cos(x)

• B) f(x) = tan(x)

• C) f(x) = csc(x)

• D) f(x) = cot(x)