G9 Speed Jeopardy Jeopardy Template

Sinusoidal Functions

Limits

Vocab

Derivatives

100

What is the amplitude, period, and midline of:

y = 2cos(3x) - 7

What is the amplitude, period, and midline of:

y = 2cos(3x) - 7

Amplitude: 2

Period: 2Pi/3

Midline: y = -7

100

lim(5x^-2) as x approaches 4 =

lim(5x^-2) as x approaches 4 = 5/16

100

A term that means "instantaneous rate of change", or "slope of a tangent line at an exact point" is ________

A term that means "instantaneous rate of change", or "slope of a tangent line at an exact point" is derivative.

100

y = -3x² + 5x

y' =

y = -3x² + 5x

y' = -6x + 5

200

What is the period, phase shift, minimum, and maximum values of:

y = 5sin(Pix - 1) + 1

What is the period, phase shift, minimum, and maximum values of:

y = 5sin(Pix - 1) + 1

Period=2, Phase Shift=1/Pi, Min=-4, Max=6

200

lim(x⁵ - 4x² + 7)/(3x²- x + 2) as x approaches infinity =

lim(x⁵ - 4x² + 7)/(3x² - x + 2) as x approaches infinity = infinity

200

The distance a sinusoidal oscillates from its midline is c called its _______

The distance a sinusoidal oscillates from its midline is c called its midline.

200

y = sin(5x)

y' =

y = sin(5x)

y' = 5cos(5x)

300

What is the amplitude, midline, period, phase shift, min, and max of: y = -2.5cos(4Pi - Pi) + Pi

Amplitude=2.5, Midline: y=Pi, Period=1/2, PS=1/4, Min=Pi - 2.5, Max=Pi + 2.5

300

lim[(x - 3) / (5 - x)]^1/3 as x approaches negative infinity =

lim[(x - 3) / (5 - x)]^1/3 as x approaches negative infinity = -1

300

If a function approaches positive or negative infinity at a fixed number, this creates a vertical _________

If a function approaches positive or negative infinity at a fixed number, this creates a vertical asymptote.

300

y = x⁴sin(x)

y' =

y = x⁴sin(x)

y' = 4x³sin(x) + x⁴cos(x)