Sinusoidal Functions
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
lim(5x-2) as x approaches 4 =
lim(5x-2) as x approaches 4 = 5/16
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.
y = -3x2 + 5x
y' =
y = -3x2 + 5x
y' = -6x + 5
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
lim(x5 - 4x2 + 7)/(3x2 - x + 2) as x approaches infinity =
lim(x5 - 4x2 + 7)/(3x2 - x + 2) as x approaches infinity = infinity
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.
y = sin(5x)
y' =
y = sin(5x)
y' = 5cos(5x)
What is the amplitude, midline, period, phase shift, min, and max of: y = -2.5cos(4Pi - Pi) + Pi
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
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
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.
y = x4sin(x)
y' =
y = x4sin(x)
y' = 4x3sin(x) + x4cos(x)