WebAssign Michael Lee Math261(Calculus I), section …leemath3000.org/261sp2017/hw_online/1_1.pdf2/8/2017 hw1.1 Responses/last?dep=15776521 1/21 ... (Enter your answers using interval

2/8/2017 hw1.1

http://www.webassign.net/web/Student/AssignmentResponses/last?dep=15776521 1/21

Current Score : – / 71 Due : Wednesday, May 31 2017 07:25 AM PDT

1. –/1 pointsSCalc8 1.1.002.

If

is it true that Yes

No

2. –/3 pointsSCalc8 1.1.007.

Consider the following graph.

Determine whether the curve is the graph of a function of x.Yes, it is a function.

No, it is not a function.

If it is, state the domain and range of the function. (Enter your answers in interval notation. If the curve is not the graph of afunction of x, enter DNE.)

domain

range

hw1.1 (Homework)

Michael LeeMath261(Calculus I), section 1049, Spring 2017Instructor: Michael Lee

WebAssign

f(x) = and g(x) = xx2 − 9xx − 9

f = g?

2/8/2017 hw1.1


3. –/3 pointsSCalc8 1.1.008.




If it is, state the domain and range of the function. (Enter your answers using interval notation. If it is not a function, enter DNEin all blanks.)

domain

range

2/8/2017 hw1.1


4. –/3 pointsSCalc8 1.1.009.




If it is, state the domain and range of the function. (Enter your answers using interval notation. If it is not a function, enter DNEin all blanks.)

domain

range

2/8/2017 hw1.1


5. –/2 pointsSCalc8 1.1.014.

Three runners compete in a 100meter race. The graph depicts the distance run as a function of time for each runner. Describein words what the graph tells you about this race.

Who won the race?runner A

runner B

runner C

Did each runner finish the race?Yes

No

2/8/2017 hw1.1


6. –/1 pointsSCalc8 1.1.018.

Sketch a rough graph of the market value of a new car as a function of time for a period of 20 years. Assume the car is wellmaintained.

2/8/2017 hw1.1


7. –/10 pointsSCalc8 1.1.025.

If find the following.

f(2) =

=

f(a) =

f(−a) =

f(a + 1) =

2f(a) =

f(2a) =

f(a2) =

[f(a)]2 =

f(a + h) =

8. –/1 pointsSCalc8 1.1.028.MI.

Evaluate the difference quotient for the given function. Simplify your answer.

f(x) = 4x2 − x + 3,

f(−2)

f(x) = −x3, f(a + h) − f(a)h

2/8/2017 hw1.1


9. –/1 pointsSCalc8 1.1.029.

Evaluate the difference quotient for the given function. Simplify your answer.

10.–/1 pointsSCalc8 1.1.031.

Find the domain of the function. (Enter your answer using interval notation.)

11.–/1 pointsSCalc8 1.1.033.


12.–/1 pointsSCalc8 1.1.035.

Find the domain of the function. (Enter your answer in interval notation.)

f(x) = , 1x

f(x) − f(a)x − a

f(x) = x + 4x2 − 49

f(t) = 5t − 83

h(x) = 1

x2 − 3x4

2/8/2017 hw1.1


13.–/3 pointsSCalc8 1.1.038.

Find the domain and range of the function. (Enter your answers using interval notation.)

domain

range

Sketch the graph of the function.

h(x) = 81 − x2

2/8/2017 hw1.1


14.–/4 pointsSCalc8 1.1.041.

Evaluate and for the piecewise defined function.


f(−5), f(0), f(4)

f(x) = x + 2 if x < 01 − x if x ≥ 0

f(−5) = f(0) = f(4) =

2/8/2017 hw1.1


15.–/1 pointsSCalc8 1.1.049.


f(x) = 3|x| if |x| ≤ 13 if |x| > 1

2/8/2017 hw1.1


16.–/2 pointsSCalc8 1.1.051.

Find an expression for the function whose graph is the given curve. (Assume that the points are in the form (x, f(x)).)

The line segment joining the points f(x) =


17.–/1 pointsSCalc8 1.1.053.

Find an expression for the function whose graph is the given curve.

The bottom half of the parabola x + (y − 7)2 = 0y =

18.–/1 pointsSCalc8 1.1.054.

Find an expression for the function whose graph is the given curve.

The top half of the circle x2 + (y − 1)2 = 1y =

(1, −3), and (5, 3)

2/8/2017 hw1.1


19.–/2 pointsSCalc8 1.1.057.

Find a formula for the described function.

A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of the length, L, of one of its sides.A =

m2

State the domain of A. (Assume the length of the rectangle is longer than its width. Enter your answer in interval notation.)

20.–/2 pointsSCalc8 1.1.058.


A rectangle has area 81 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides.P(L) =

State the domain of P. (Assume the length of the rectangle is larger than its width. Enter your answer using interval notation.)

2/8/2017 hw1.1


21.–/2 pointsSCalc8 1.1.059.


Express the area of an equilateral triangle as a function of the length of a side x.A(x) =

State the domain of A. (Enter your answer using interval notation.)

22.–/2 pointsSCalc8 1.1.061.


An open rectangular box with volume 6 m3 has a square base. Express the surface area SA of the box as a function of thelength of a side of the base, x.SA =

m2

State the domain of SA. (Enter your answer in interval notation.)

2/8/2017 hw1.1


23.–/1 pointsSCalc8 1.1.062.

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 18 ft, express thearea A of the window as a function of the width x of the window.A(x) =

24.–/1 pointsSCalc8 1.1.063.

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cuttingout equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as afunction of x.V(x) =

2/8/2017 hw1.1


25.–/4 pointsSCalc8 1.1.069.

Graphs of f and g are shown.

Is f even, odd, or neither?even

odd

neither

Explain your reasoning.It is symmetric about the origin.

It is symmetric with respect to the yaxis.

It is symmetric with respect to the xaxis.

It is not symmetric about the origin or the yaxis.

Is g even, odd, or neither?even

odd

neither





2/8/2017 hw1.1


26.–/4 pointsSCalc8 1.1.070.

Graphs of f and g are shown.

Is f even, odd, or neither?even

odd

neither





Is g even, odd, or neither?even

odd

neither





2/8/2017 hw1.1


27.–/2 pointsSCalc8 1.1.071.

(a) If the point (3, 9) is on the graph of an even function, what other point must also be on the graph?

(x, y) =

(b) If the point (3, 9) is on the graph of an odd function, what other point must also be on the graph?

(x, y) =

28.–/1 pointsSCalc8 1.1.073.

Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually.

even

odd

neither

29.–/1 pointsSCalc8 1.1.074.


even

odd

neither

f(x) = xx2 + 1

f(x) = x2

x4 + 3

2/8/2017 hw1.1


30.–/1 pointsSCalc8 1.1.075.


even

odd

neither

31.–/1 pointsSCalc8 1.1.508.XP.


f(x) = xx + 1

g(x) = |x|x2

2/8/2017 hw1.1





G(x) = 5x + |x|x

2/8/2017 hw1.1




Express the surface area of a cube as a function of its volume V.SA(V) =

State the domain of SA(V). (Enter your answer using interval notation.)

34.–/1 pointsSCalc8 1.1.JIT.008.MI.

Find the domain of the function.

(8, ∞)

[8, ∞)

(∞, 8) ∪ (8, ∞)

(∞, 8]

(∞, ∞)

(∞, 8] ∪ [8, ∞)



(∞, ∞)

[0, 1/8) ∪ (1/8, ∞)

(∞, 1) ∪ (8, ∞)

(∞, 1/8) ∪ (1/8, ∞)

[0, 8) ∪ (8, ∞)

G(x) = x2 − 64

g(x) = 8x2 + 7x − 1

x

2/8/2017 hw1.1




(1, 1)

(∞, ∞)

(∞, 1) ∪ (1, ∞)

(∞, 1]

(∞, 1) ∪ (1, ∞)

f(x) = x

1 − x24

Documents

WebAssign Michael Lee Math261(Calculus I), section …leemath3000.org/261sp2017/hw_online/1_1.pdf2/8/2017 hw1.1 Responses/last?dep=15776521 1/21 ... (Enter your answers using interval