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Smith - Precalculus: A Functional Approach 6/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 13 / 25

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

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13/25 (52.0%)

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1. –/2 points SmithPreCalc6 2.1.034. My Notes
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This problem uses a formula you will need for calculus.
An 11-ft ladder rests against a vertical wall. If the bottom of the ladder is 4 ft from the wall, how high up the building (to the nearest foot) does the ladder reach?
State the formula you need.
    

Use that formula to answer the question.
ft
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2. –/2 points SmithPreCalc6 2.1.049. My Notes
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This problem is modeled from problems taken from a variety of calculus textbooks.

Suppose you throw a rock at 32 ft/s from the top of a certain tower and the height in feet, h, from the ground after t sec is given by
h = −16t2 + 32t + 1,429.
(a) What is the height of the tower?
ft

(b) How long will it take (to the nearest tenth of a second) for the rock to hit the ground?
sec
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3. –/2 points SmithPreCalc6 2.2.006. My Notes
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For this verbal description, write a rule in the form of an equation.
For each number x in the domain, the corresponding range value y is found by squaring and then subtracting three times the domain value.


State the domain. (Enter your answer using interval notation.)
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4. –/4 points SmithPreCalc6 2.3.048. My Notes
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–/4
 
Find the domain and range for the graph defined by the equation. (Enter your answers using interval notation.)
y = 
5
x2 + 1
 
domain    
range    

If the equation does not represent a function, so state.
    

If it does represent a function, classify it as even, odd, or neither.
    
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5. –/1 points SmithPreCalc6 2.4.057. My Notes
Question Part
Points
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1
–/1
0/50
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–/1
 
Graph the equation. Do not graph by plotting points.
y + 12 = (x − 11)2, such that y < 4

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6. –/5 points SmithPreCalc6 2.5.016. My Notes
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–/5
 
Find the following.
f(x) = 2
x
 
(a)    
f(1)



(b)    
f(5.3)



(c)    
f(π)



(d)    
f 
− 
1
2



(e)    
f(−5.3)

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7. –/4 points SmithPreCalc6 2.7.007. My Notes
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–/4
 
Find the inverse function, if it exists, of each function given below. (If an answer does not exist, enter DNE.)
(a)    
f = {(4, 2), (8, 3), (6, 9), (5, 4)}

f −1 = 


(b)    
f(x) = x + 8

f −1(x) =


(c)    
f(x) = 2x

f −1(x) =


(d)    
f(x) = 2

f −1(x) =
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8. –/1 points SmithPreCalc6 2.8.014. My Notes
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–/1
 
Evaluate the limit. You may use the numerical, graphical, or algebraic method of solution. (If an answer does not exist, enter DNE.)
 lim x→4 
x2 + 2x − 24
x − 4
 
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9. –/2 points SmithPreCalc6 2.8.059. My Notes
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Find constants a and b so that the given function will be continuous for all x throughout its domain.
f(x) = 
ax + 12if x > 2
22if x = 2
x2 + bx + 7  if x < 2
a = 
b = 
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10. –/2 points SmithPreCalc6 1.5.006. My Notes
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Graph the inequality in the given dimensions.
x > −5
(a) one dimension
Use the tools to enter your answer.
Created with Raphaël 2.1.0-10-8-6-4-20246810
Created with Raphaël 2.1.0

NO SOLUTION

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(b) two dimensions
No Solution
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