AP Pre-Calculus Review #3

Which example illustrates a real-world application of sinusoidal functions?

• Chemical reaction rates

• Linear depreciation of machinery

• Population growth in a city

• Temperature variations over a year

What is the maximum value of a basic sine function without transformations?

• π

• -1

• 1

• 0

Tags

CCSS.HSF-IF.C.7E

Which function starts at its maximum value at an input value of zero?

• Tangent

• Cosine

• Cotangent

• Sine

Tags

CCSS.HSF-IF.C.7E

How does the graph of sine and cosine relate to each other?

• They are identical

• Cosine is a shifted version of sine

• Sine is a shifted version of cosine

• They are inverses of each other

Tags

CCSS.HSF-IF.C.7E

What does a vertical dilation in a sinusoidal function affect?

• Period of the function

• Midline of the function

• Horizontal shift

• Amplitude of the function

Tags

CCSS.HSF-IF.C.7E

What is the phase shift if a function is translated to the right by π/2?

• π/2

• -π/2

• π

• -π

Tags

CCSS.HSF-IF.C.7E

What transformation does the 'c' parameter in f(x) = a sin(bx + c) + d represent?

• Horizontal dilation

• Vertical translation

• Horizontal translation

• Vertical dilation

Tags

CCSS.HSF-IF.C.7E

If the period of a sinusoidal function is 9, what is the approximate value of 'b' in the function f(x) = a sin(bx + c) + d?

• 2π/9

• π/4

• 1

• 0.7

Tags

CCSS.HSF.TF.A.4

What is the period of a tangent function?

• π/2

• π

• 4π

• 2π

Where do the vertical asymptotes of the tangent function occur?

• Where sine is zero

• Where cosine is zero

• At maximum values of sine

• At maximum values of cosine