Atlanta Technical College Algebra Worksheet

1. -/9.09 Points]MY NOTES
DETAILS
OSCOLALG1 3.7.427.
ASK YOUR TEACHER
PRACTICE ANOTHER
Find f) forthefunction.
fx)=x+1
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fi
Find f) forthe
function.
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Functions
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Usethegraph of f shown in the gurebelow.
10
-5
-10
5
-10+
Find f6).
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• InverseFunctionValuesUsingGraph
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10
—————————————————————————Are the functions fx) and gx) inverses of each other? Use composition of functions to determine your answer.
f)= 9x-3
8) =
9
3
Yes
ONo
Tutorial
Assume that the function s oneto-one.
If f7) =8, nd f(8).
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The following set of ordered pairs de nes a function.
(-8, 5), (-4, 3), (-2, 1) (0, 0), (2, 1), (4, 3), (8, 5)}
Is the inverse of this function a function as well?
O
Yes
No
Tutorial
Use the values listed in the table below to evaluate or solve.
1
X
fr
8
Solve f) =2.
x=
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fi
fi
fi
Section 3.7 Inverse Functions – Math 1111 _2022 _SPR_HYB and ONL, section CRN 42360 Page, Sping 20:
3/16/22, 7:10 PM
2
3
4
5
6
4
2
6
5
8
3
9
1
The circumference C of a circle is a function of its radiusr given by the equation C() = 2r.
itscircumference.Callthisfunction ).
Find (3271).
Interpret the meaning of (327).
O the circurnference of a circe with a radius of 327 units
O the radius of a circle with a circumference of 32 units
O the circumference of a circle with a radius of 32 units
O the radius of a circle with a circumference of 2tr units
O the radius of a circle witha circumference of 32r units
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fi
3/16/22, 7:10 PM
Section 3.7 Inverse Functions- Math 1111 2022 SPR_HYB and ONL, Section CRN 42360 Page, Spring 2022 | Wer
…………………… .. ……. …v……… ……
Use the graph of the one-to-one function shown in the gure below.
y
10
6
X
4
6
10
Find f(5).
Find f'(2).
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• InverseFunctionValuesUsingGraph
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1.
-7.69
Points]
MY NOTES
DETAILS
OSCOLALG1 5.1.012.
ASK YOUR TEACHER
PRACTICE ANOTHER
Rewrite the quadratic function in standard form.
fx) = 2×2-6x
fx)=
Give the vertex.
«.y) =
)
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Section 5.1 Graphs of Quadratic Functions – Math 1111 2022_SPR_HYB and ONL, secion CRN 42360 Page, Spri
—–m-ernenerre-ssem——-m–Aast?
petermine whether there is a minimum or maximum value to the quadratic function.
O minimum
O maximum
Find the minimum or maximum value off.
Find the axis of symmetry.
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Function
Determine the domain and range of the quadratic function. (Enter your answers using interval notation.)
f)=-7+ 1)2-7
domain
range
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-**w
….
fi
5
3/16/22, 6:49 PM
Section 5.1 Graphs of Quadratic Functions – Math 1111 2022_SPR HYB and ONL, soction CRN 42360 Page
Use the vertex (h, k) and a point on the graph (x,y) to nd the general form of the equation of the quadratic function.
(h, k) = (0, 2),
(x. y) = (2, 6)
fx) =
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Write the equation for the graphed function.
y=
-6
-4
42
2
4
-2
-4
-6F
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Function
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X
649 PM
Section 5.1 Graphs of Quadratic Functions – Math 1111 2022 SPR HYB and ONL, Secion CRN 42360 Page, Spring 2022 | Web…
——–m———————.——————–
1ast?
—–m————————————–.——————————– ———————–
Find the range of the quadratic function. Give your answer using interval notation.
y= 4r+16x +7
Iutorial
Find the domain of the quadratic function. (Enter your answer using interval notation.)
y=2re-3x+5
Tutorial
Find the dimensions of the rectangular corral split into 2 pens of the same size producing the greatest possitble enclosed area given 900 feet
of fencing. (Assume that the length is greater than or equal to the width.)
length
ft
width
Tutorial
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A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a funtion of time, in seconds, is given by
h(t) = -4.91+14t +9. How long does it take to reach maximum height? (Round your answer to three decimal places.)
s
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fi
3/16/22, 6:49 PM
Section 5.1 Graphs of Quadratic Functions- Math 1111 2022 SPR HYB and ONL, section CRN 42360 Page, Spring 20
———.
-…
OSe ne quadratic formula to nd the complex solutions of the quadratic equation. Give your answer(s)in a+ bi form.(Enteryouranswer
as a comma-separated list. If there is no solution, enter NOSOLUTION.
x-16x+
X=
Tutorial
68 = 0
649 PM
Section 5.1 Graphs of Quadratic Funcions – Math 111_2022_SPR_ HYB and ONL, secion CRN 42360 Page, Spring 2022 | Web.
—-*.num.-….
Mast?d
——–*.——-……….-. ……
…….
…… …………………….
For the quadratic equation, state the axis of symmetry, vertex, and any intercepts.
y=-4x-5
axis of symmetry
vertex
)
y-intercept
)
x-intercept
(smallerxvalue)
x-intercept
) (larger xvalue)
Graph the quadratic equation.
2
2
-10 -8 -6-4
X
-2
2
4
6
8
10
-10 -8
-6 -4
-2
2
4
6
8
10
-4
-10
-10
-12
-12
-14
-14
-16
-16
-18
-18
-20
-20
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7/11
649 PM
Section 5.11 Graphs of Quadratic Functions – Math 1111 2022 SPR_ HYB and ONL, secion CRN 42360 Page, Spring 2022 | Web
………
….. …. …
*****n***.******.***
A sOccer ball is kicked from 3 feet above the ground. The height, h, in feet of the ball after t seconds is given by the function
h=-16r
+ 648+ 3.
(a) Graph the function.
h
h
70
70
65
65
60
60
55
55
50
50
45
15
40
40
35
30
35
30
25
25
20
20
15
15
10
10
3
1
O
2
4
4
h
h
70
70
65
60
65
60
55
55
50
50
45
45
40-
40
35
35
30
30
25
25
20
20
15
15
10
5
1
2
5
-t
1
2
5
(b) At what time(s) is the height of the ball 51 feet? (Enter your answers as a comma-separated list.)
t=
se
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The circumference C of a cirde is a function of its radius r givenbyythe equation
its circumference. Call this function r(O.
Find (32r).
interpret the meaning of r(321).
O the circumference of a circle with a radius of 32
units
O the radius of a circle with a circumference of 32 units
O the circumference of a circle with a radius of 32 units
O the radius of a circle with a circumference of 2tr units
O the radius of a circle with a circumference of 32
units
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C)-
2r. Express the radius of a circle as a function of
Tutoria!
The circumference C of a circle is a function of its radius r given by the equation Cn = 2nr. Express the radius of a circde as a function of
itscircumference.Callthisfunction ).
Find r(32r).
Interpret the meaning of r321t).
O the circumference of a circie with a radius of 32r units
O the radius of a circie with a circumference of 32 units
O the circumference of a circle with a radius of 32 units
O the radius of a circle with a circumference of 27tr units
O the radius of a circie with a circumference of 32n units
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The circumference C of a cirde is a function of its radius r givenbyythe equation
its circumference. Call this function r(O.
Find (32r).
interpret the meaning of r(321).
O the circumference of a circle with a radius of 32
units
O the radius of a circle with a circumference of 32 units
O the circumference of a circle with a radius of 32 units
O the radius of a circle with a circumference of 2tr units
O the radius of a circle with a circumference of 32
units
Additional Materials
• eBook
htps:/www.
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C)-
2r. Express the radius of a circle as a function of
Tutoria!
The circumference C of a circle is a function of its radius r given by the equation Cn = 2nr. Express the radius of a circde as a function of
itscircumference.Callthisfunction ).
Find r(32r).
Interpret the meaning of r321t).
O the circumference of a circie with a radius of 32r units
O the radius of a circie with a circumference of 32 units
O the circumference of a circle with a radius of 32 units
O the radius of a circle with a circumference of 27tr units
O the radius of a circie with a circumference of 32n units
Additional Materials
• eBook
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