The Horizontal Asymptote of the Function.
f(x) = 4x2 + x +8 / x3 + 3x2 - 1
What is y = 0?
If each successive term in a sequence has a common ratio, the sequence is called?
What is geometric?
Find the value of the log.
log100
What is x=2?
Fill in the Blank.
As input values increase, if the output values demonstrate a repeating pattern over successive equal-length intervals we have what is called a _____ relationship.
What is periodic?
Evaluate.
tan 5π/4
What is 1?
The Average Rate of Change Of The Function on the Given Interval.
h(t) = 3x - x2 over the interval 2 ≤ x ≤ 5
What is -4?
A function has the following coordinate points. Could the function represent a linear function, exponential function, or neither?
(3,-1), (5,7), (7,15)
What is Linear?
Rewrite the exponents as logarithms.
165/2 = 1024
What is 1og16 1024 = 5/2?
In which quadrant is the terminal ray?
θ = -5.2π
What is quadrant II?
Evaluate the following expression.
sec (π/3)
What is 2?
The x-intercepts of the Function.
g(x) = x3 -2x2 - 8x
What is x= -2, 0, 4?
Identify if the exponential function is growth or decay.
f(x) = 0.2(1.3)x
What is growth?
Write the expression as a sum or difference of logarithm.
log3(xy3)
What is log3x + 3 log3y?
Identify the amplitude, period, and frequency the function.
g(t) = 5 - 6 cos(πt)
What is amplitude: 6, period: 2, frequency: 1/2?
Describe the equation of the polar function. Find the type, and number of petals.
r = cos(6θ )
What is type: rose, petals: 12?
Show Analytically That The Function Is Odd, Even, or Neither.
f(x) = 7x6 - x4 +5
What is Even?
Let g(x) be a transformation of f. Name the transformation(s) of the function f.
f(x) = 3x and g(x) = f(x) . 27
What is shift left 3 units.
Solve the equation. Round to the nearest thousandth.
80e0.045x = 240
What is 24.414?
The sinusoid has been vertically shifted and has the given maximum and minimum values. Write the equation of the midline for the sinusoid and find the amplitude.
Max Value: 40 Min Value: 28
What is midline: y = 34 and |a| = 6?
Find the exact value of the sum or difference.
sin (3π/2 - 4π/3)
What is 1/2?
(x+5)5
Find the 3rd term.
What is 250x3?
Let f(x) = 4x and g(x) = x - x2
Find g(f(1/2))
What is -2?
Find the inverse of the function.
f(x) = 3(2x) +6
What is log2(x-6/3) = y?
Create a sine function that matches the following attributes.
Amplitude: 1, Period: 6, Phase Shift: left 6π/7, Vertical Shift: up 2
What is y = sin(π/3 x + 2π2/7) +2?
Convert rectangular complex numbers to polar form.
3 + 4i
What is 5[cos(0.927) + i sin(0.927)]?