• Write the equation of the line that is
perpendicular to 2x + 3y = 8 and goes through
the point (-5, 3)
• Write the equation of the line that is
perpendicular to 2x + 3y = 8 and goes through
the point (-5, 3)
2𝑥 + 1, 𝑥 < −3
• Graph f(x) = 4, −3 ≤ 𝑥 ≤ 3
−4𝑥 + 5, 𝑥 > 3
2𝑥 + 1, 𝑥 < −3
• Graph f(x) = 4, −3 ≤ 𝑥 ≤ 3
−4𝑥 + 5, 𝑥 > 3
• f(x) = 3x – 5. Find
𝑓 𝑥+ℎ −𝑓(𝑥)
ℎ
• f(x) = 3x – 5. Find
𝑓 𝑥+ℎ −𝑓(𝑥)
ℎ
• f(x) and g(x) are inverses. Find the equation of
g(x) if the values of f(x) are shown below
x
3
2
1
0
f(x)
4
6
8
10
• f(x) and g(x) are inverses. Find the equation of
g(x) if the values of f(x) are shown below
x
3
2
1
0
f(x)
4
6
8
10
• I would like to minimize the material needed
to build a closed rectangular box that has a
square base. I need the box to have a volume
of 60 ft3. Write an equation for the surface
area of the box in one variable that I could use
in the minimizing process.
• I would like to minimize the material needed
to build a closed rectangular box that has a
square base. I need the box to have a volume
of 60 ft3. Write an equation for the surface
area of the box in one variable that I could use
in the minimizing process.
• With a calc, solve the system
6x + 2y – 3z = -17
7x – 5y + z = 72
2x + 8y + 3z = -21
• With a calc, solve the system
6x + 2y – 3z = -17
7x – 5y + z = 72
2x + 8y + 3z = -21
• Determine the values of x for which the
function is positive.
• 3x – 4y = 24
• Determine the values of x for which the
function is positive.
• 3x – 4y = 24
• Determine if the function is even,
odd, or neither. f(x) = 3x4 – 2x2 + 4
• Determine if the function is even,
odd, or neither. f(x) = 3x4 – 2x2 + 4
𝑦 = 𝑥 2 − 6𝑥 + 9
Solve the system
𝑥+𝑦 =5
𝑦 = 𝑥 2 − 6𝑥 + 9
Solve the system
𝑥+𝑦 =5
• Find the equation of a function with degree 2
that has vertex (3, -1) and goes through the
point (1, 15)
• Find the equation of a function with degree 2
that has vertex (3, -1) and goes through the
point (1, 15)
• Find the interval on which the function is
increasing f(x) = -2x2+ 12x - 18
• Find the interval on which the function is
increasing f(x) = -2x2+ 12x - 18
• Find the interval on which the function is
positive: f(x) = 3𝑥 + 1 – 4
• Find the interval on which the function is
positive: f(x) = 3𝑥 + 1 – 4
Find the inverse of f(x) = 𝑥 + 5 – 4
Find the inverse of f(x) = 𝑥 + 5 – 4
• A rocket is shot off the top of the 900 building.
The height function for the rocket is given by
h(t) = -16t2 + 64t + 80, the velocity function for
the rocket is given by v(t) = -32t + 64, where t
= time in seconds and the height is measured
in feet.
• Find the maximum height of the rocket.
• A rocket is shot off the top of the 900 building.
The height function for the rocket is given by
h(t) = -16t2 + 64t + 80, the velocity function for
the rocket is given by v(t) = -32t + 64, where t
= time in seconds and the height is measured
in feet.
• Find the maximum height of the rocket.
• A rocket is shot off the top of the 900 building.
The height function for the rocket is given by
h(t) = -16t2 + 64t + 80, the velocity function for
the rocket is given by v(t) = -32t + 64, where t
= time in seconds and the height is measured
in feet.
• Find the amount of time until the rocket hits
the ground.
• A rocket is shot off the top of the 900 building.
The height function for the rocket is given by
h(t) = -16t2 + 64t + 80, the velocity function for
the rocket is given by v(t) = -32t + 64, where t
= time in seconds and the height is measured
in feet.
• Find the amount of time until the rocket hits
the ground.
• A rocket is shot off the top of the 900 building.
The height function for the rocket is given by
h(t) = -16t2 + 64t + 80, the velocity function for
the rocket is given by v(t) = -32t + 64, where t
= time in seconds and the height is measured
in feet.
• Find the rate of change of the velocity from t =
1 second to t = 3 seconds.
• A rocket is shot off the top of the 900 building.
The height function for the rocket is given by
h(t) = -16t2 + 64t + 80, the velocity function for
the rocket is given by v(t) = -32t + 64, where t
= time in seconds and the height is measured
in feet.
• Find the rate of change of the velocity from t =
1 second to t = 3 seconds.
• Write in standard (a + bi) form.
3+2𝑖
5−3𝑖
• Write in standard (a + bi) form.
3+2𝑖
5−3𝑖
• Given f(x) =
asymptote
4𝑥 3 +2𝑥 2 +6
𝑥 2 +2
find the slant
• Given f(x) =
asymptote
4𝑥 3 +2𝑥 2 +6
𝑥 2 +2
find the slant
• Find all asymptotes of… f(x) =
𝑥−3
𝑥 2 +𝑥−12
• Find all asymptotes of… f(x) =
𝑥−3
𝑥 2 +𝑥−12
• Given f(x) =
2𝑥+3
𝑥−5
find lim 𝑓(𝑥)
𝑥→∞
• Given f(x) =
2𝑥+3
𝑥−5
find lim 𝑓(𝑥)
𝑥→∞
• Given f(x) = x4 – x3 – x2 – x – 2, find all zero(s)
of the function
• Given f(x) = x4 – x3 – x2 – x – 2, find all zero(s)
of the function
• Given f(x) = 5x4 – 3x3 – 7x2 – x + 12, find
lim 𝑓(𝑥)
𝑥→−∞
• Given f(x) = 5x4 – 3x3 – 7x2 – x + 12, find
lim 𝑓(𝑥)
𝑥→−∞
Find the x-intercept of f(x) =
𝑥 2 +3𝑥−4
2𝑥 2 −20
Find the x-intercept of f(x) =
𝑥 2 +3𝑥−4
2𝑥 2 −20
• Write a polynomial of least degree with zeros:
4(multiplicity 2) and 3i
• Write a polynomial of least degree with zeros:
4(multiplicity 2) and 3i