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Transcript
2.1-2.4 Review
Directions
• Take out a sheet of paper to answer all of the
review problems. This will be collected for
participation points!
• The “Last Man Standing” will be your prize!
LAST MAN STANDING
MILDLY
SOMEWHAT
MOSTLY
TOTALLY
COSTUMED
MAN
Piece of
Gum
Extra Credit
Pt on Test
Fist Bump
Candy
WEIRD
MAN
Cookies
Homework
Pass
Smiley on your
next test
HW Pass
Candy
Piece of
Gum
Candy
Fist
Bump
SICK
MAN
ANGRY
MAN
Candy
Smiley on your
next test
Candy
Extra Credit
Pt on Test
Determine if the given
function is a polynomial
function. If so, state the
degree and leading
coefficient. If not, explain
why?
4
x
2
f  x   3x   8 x
5
Determine if the given
function is a polynomial
function. If so, state the
degree and leading
coefficient. If not, explain
why?
4
x
2
f  x   3x   8 x
5
Write the equation of the given
quadratic in vertex form.
f  x   6  2x  4 x
2
Write the equation of the given
quadratic in vertex form.
f  x   6  2x  4 x
2
Write the equation for the
quadratic function whose
graph had a vertex at (-2,-5)
and goes through (-4,-27)
Write the equation for the
quadratic function whose
graph had a vertex at (-2,-5)
and goes through (-4,-27)
Write a polynomial function of minimum degree
In standard form with real coefficients whose
zeros include, -2 and 1+2i.
Write a polynomial function of minimum degree
In standard form with real coefficients whose
zeros include, -2 and 1+2i.
Sketch the graph of
f  x   3x  x  2   x  1
4
3
Sketch the graph of
f  x   3x  x  2   x  1
4
3
Describe the end behavior of
g(x) using limits.
g  x   2  3  x  x  1
2
Describe the end
g(x) using limits.
3
f
x

4
x


behavior of
g  x   2  3  x  x  1
2
Use the Factor Theorem to determine if 2x-3 is a
factor of f(x).
f  x   4 x4  13x2  9
Use the Factor Theorem to determine if 2x-3 is a factor of f(x).
f  x   4 x4  13x2  9
Larry uses a slingshot to launch a rock straight up from a point
6ft about level ground with an initial velocity of 170 ft/sec.
What is the maximum height of the rock and when will it be at
that height?
s(t )  16t 2  v0t  s0
Larry uses a slingshot to launch a rock straight up from a point
6ft about level ground with an initial velocity of 170 ft/sec.
What is the maximum height of the rock and when will it be at
that height? (you may use your calculator)
s(t )  16t 2  v0t  s0
f  x   1  x   x  5 1  2 x 
6
2
4
find lim f  x  
x 
f  x   1  x   x  5 1  2 x 
6
2
4
find lim f  x  
x 
Write an equation, in factored form, of lowest
degree of the given graph of a function.
Write an equation, in factored form, of lowest degree
of the given graph of a function.
Find the zeros of the functions
f  x   5x  5x  10x
3
2
Find the zeros of the functions
3
2
f  x   5x  5x  10x
Find the zeros of the functions
f  x   x  3x  x  1
3
2
Find the zeros of the functions
f  x   x  3x  x  1
3
2
Use the Remainder Theorem ro find the remainder
when f(x) is divided by x-k
f  x   x 5  2x 4  3x2  20x  3; k  1
Use the Remainder Theorem ro find the remainder
when f(x) is divided by x-k
f  x   x 5  2x 4  3x2  20x  3; k  1
Find the polynomial function with leading coefficient
2, degree of 4, with -3,-1, 0, and 5/2 as zeros. Write
the function in Standard Form.
Find the polynomial function with leading coefficient
2, degree of 4, with -3,-1, 0, and 5/2 as zeros. Write the
function in Standard Form.
Factor f(x) into linear factors. You may use your
graphing calculator to find the real rational
zeros.
f  x   2x  7x  4 x  28x  16
4
3
2
Factor f(x) into linear factors. You may use your
graphing calculator to find the real rational zeros.
f  x   2x  7x  4 x  28x  16
4
3
2
Larry uses a slingshot to launch a rock straight
up from a point 6ft about level ground with an
initial velocity of 170 ft/sec. When will the rock
hit the ground?
Larry uses a slingshot to launch a rock straight up from a
point 6ft about level ground with an initial velocity of 170
ft/sec. When will the rock hit the ground?