pre calc 20 question due in 6 hours

9/29/2018 HW#2

9/29/2018 HW#2

9/29/2018 HW#2

1. –/1 pointsFDPreCalc5 1.6.006.

The graph of the function f is given in the figure.

(a) Determine the values.

f(−3) = f(0) =

f(1) = f(3) =

(b) Determine the domain and range of the function.

Domain:

[−4, −0.5] ∪ [0, 2.25]

[−3.5, 3]

[−4, 0) ∪ (0, 3]

[−5, 5]

(4, 2.25)

Range:

(4

,

2.25)

[

−

4

,

−

0.5]

∪

[0, 2.25]

[

−

, 0)

4

∪

(0, 3]

[

−

3.5

,

3]

[

−

5

5]

,

2. FDPreCalc5 1.6.019.

Find the domain and the range of the function.

f(x) = x2 − 12x + 36

(a) Domain:

[36, ∞)

(6, ∞)

[0, ∞)

(−∞, ∞)

(−6, ∞)

Sketch the straight line determined by the points.

(2, 5), (3, 7)

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You can get Flash Pla y er free from Adobe's website .

Find the slope-intercept equation of the line.

y

(

x

)

=

4. FDPreCalc5 1.7.009.

Find the slope of the line. (If an answer is undefined, enter UNDEFINED.)

y = x − 1

Sketch its graph.

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5. –/1 pointsFDPreCalc5 1.7.023.

The equation of a line is given, together with a point that is not on the line.

y = −2x + 3 ; (−3, 6)

(a) Find the slope-intercept form of the equation of the line that passes through the given point and is parallel to the given line. y(x) =

(b) Find the slope-intercept form of the equation of the line that passes through the given point and is perpendicular to the given line. y(x) =

A new computer workstation costs $7,000. Its useful lifetime is 5 years, at which time it will be worth an estimated $4,000. The company calculates its depreciation using the linear decline method that is an option in U.S. tax law.

(a) Find the linear equation that expresses the value V of the equipment as a function of time t, in years, for 0 ≤ t ≤ 5. V(t) =

(b) How much will the equipment be worth after 4.5 years?

(c) What is the average rate of change in the value of the equipment from 1 to 3 years?

$

dollars per year

7. FDPreCalc5 1.8.005.

Sketch the graph of the quadratic equation.

y = (x − 2)2

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8. –/1 pointsFDPreCalc5 1.8.031.

Find a function whose graph is a parabola with vertex (2, 4) and that passes through the point (−3, 3).

y(x) =

9. FDPreCalc5 1.8.029.

Use the graph of the function shown in the accompanying figure to sketch the graphs.

(I.) (II.) (III.) (IV.)

(V.) (VI.)

9/29/2018 HW#2

9/29/2018 HW#2

–/1 points

9/29/2018 HW#2

–/1 points

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https://www.webassign.net/web/Student/Assignment-Responses/last?dep=19673595 1/6

Use the quadratic formula to find any x-intercepts of the parabola. (If an answer does not exist, enter DNE.) y = 2x2 − 10x + 5

(

x

,

y

)

=

(smaller

x

)

value

-

(

x

,

y

)

=

(larger

x

-

value

)

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https://www.webassign.net/web/Student/Assignment-Responses/last?dep=19673595 1/6

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=19673595 1/6