Slopes of Secant and Tangent Lines - Homework
#. Uor the function f ( x ) = 5 x + 3, find the following. Vonfirm cQ on your calculator.
aQ the slope of the secant line
between x = # and x!= X
bQ the slope of the tangent line
at x = 2.
cQ the eWuation of the tangent line
at x = 2.
2. Uor the function f ( x ) = x 2 ! 3, find the following. Vonfirm cQ on your calculator.
aQ the slope of the secant line
between x = R and x!= 7
bQ the slope of the tangent line
at x = #.
cQ the eWuation of the tangent line
at x = #.
7. Uor the function f ( x ) = x 2 ! 5 x + 4 , find the following. Vonfirm cQ on your calculator.
aQ the slope of the secant line
between x = 2 and x!= P
bQ the slope of the tangent line
at x = 7.
cQ the eWuation of the tangent line
at x = 7.
Y. Uor the function f ( x ) = 2 x 2 ! 7 x + 8 , find the following. Vonfirm cQ on your calculator.
aQ the slope of the secant line
between x = "# and x!= Y
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bQ the slope of the tangent line
at x = "#.
" #T "
cQ the eWuation of the tangent line
at x = "#.
Stu Schwartz
X. Uor the function f ( x ) = x 3 + x ! 2, find the following. Vonfirm cQ on your calculator.
aQ the slope of the secant line
between x = "7 and x!= 7
bQ the slope of the tangent line
at x = 2.
cQ the eWuation of the tangent line
at x = 2.
5
, find the following. Vonfirm cQ on your calculator.
x!3
aQ the slope of the secant line
bQ the slope of the tangent line
cQ the eWuation of the tangent line
between x = Y and x!= P
at x = #.
at x = #.
P. Uor the function f ( x ) =
x !2
, find the following. Vonfirm cQ on your calculator.
x +1
aQ the slope of the secant line
bQ the slope of the tangent line
cQ the eWuation of the tangent line
between x = # and x!= X
at x = 7.
at x = 7.
S. Uor the function f ( x ) =
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" 2R "
Stu Schwartz
$. Gf s( t ) = 4 t + 1 is a measure of feet traveled with t measured in seconds, find
aQ the average velocity between t = # and t = X
bQ the instantaneous velocity at t = 2 seconds.
T. Gf s( t ) = t 2 + 4 is a measure of feet traveled with t measured in seconds, find
aQ the average velocity between t = R and t = Y
bQ the instantaneous velocity at t = # second.
#R. Gf s( t ) = t 2 ! 3t + 2 is a measure of feet traveled with t measured in hours, find
aQ the average velocity between t = R and t = Y
bQ the instantaneous velocity at t = # hour.
##. Gf s( t ) = t 3 + t ! 1 is a measure of feet traveled with t measured in seconds, find
aQ the average velocity between t = 2 and t = S
bQ the instantaneous velocity at t = 2 seconds.
6
is a measure of feet traveled with t measured in seconds, find
t+2
aQ the average velocity between t = # and t = S
bQ the instantaneous velocity at t = Y seconds.
#2. Gf s( t ) =
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" 2# "
Stu Schwartz