Download Week 6 quiz - JustAnswer

1. Given the function k described by k(x)=x+4, find each of the following:
k(0) = 4
k(-19) = -15
k(-14) = -10
k(4) = 8
k(y+16) = y+20
2. Graph the function - f(x) = x^2-x-2 (choose the correct graph)
GRAPH D
3. Find the function value. f(x) = x^3
f(4)= 64
4. Use the graph to find the following:
a. f(2)
f(2) = 2
b. the domain
{x | R }
(type an inequality or compound equality. Type R if the answer is all real
numbers)
c. any x values for which f(x)=3
x = 1, 7
(use a comma to separate answers as needed)
d. the range
{y | y ≥ 0 }
(type an inequality or compound equality. Type R if the answer is all real
numbers)
5. Find the intercepts and then use them to graph the equation
y = -5 -5x
6. Find an equation of the line having the given slope and containing the given point
m= - 5, (1,7). The equation of the line is y= -5x+12
(Simplify your answer. Type your answer in slope intercept form. Use integers or
fractions for any numbers in the equation)
7. Write an equation of the line containing the given point and parallel to the given line.
(9, -7); 8x-5y=2 The equation of the line is y= 8/5 x – 107/5
8. In 1920, the record for a certain race was 46.5 sec. In 1940, it was 45.9 sec. Let R(t)=
the record in the race and t=the number of years since 1920.
a. Find a liner function that fits the data. R(t) = -0.03 t + 46.5 (Round to
nearest 100)
b. Use the function in (a) to predict the record in 2003 & 2006. (Round to nearest
100)
What is the predicted record in 2003? 44.01
What is the predicted record in 2006? 43.92
c. Find the year when the record will be 43.68 sec.
In what year will the record be 43.68 seconds? 2014 (Round to nearest year)
9. Find an equation of the line containing the given pair of points. (4,2) and (12,9).
What is the equation of the line y = 7/8 x – 3/2 Simplify your answer.
10. Find the slope and the y intercept. 8 
1
y  10 x
3
The slope is -30
The y-intercept is (0, 24)
11. Find the rate of change. The rate of change is a decrease of
_6__ hundred dollars
Year
12. Find the slope, if it exists, of the line containing the pair of points.
(-12.8, 18.6) and (-10.3, 13.7).
(simplify your answer)
The slope m= -1.96 (or as a fraction: -49/25)
13. Media services charges $20.00 for a phone and $30/month for it’s economy plan.
Find a model that determines the total cost, C(t), of operating a Media Services
phone for t months. C(t) = 30t + 20 (choose correct graph)
Graph starts low on the left and goes up towards the right
Use the model to find the cost for 8 months of service. Total cost =$ 260
14. Graph the equation by plotting points. Y = - 5 Already have.
15. Determine whether the graphs of the equations are perpendicular. No ____
3x-2y=5
3y-2x=7
16. Find the slope and the y-intercept of the line. Write the fractional answer in the
4
2
lowest terms. y   x 
7
9
The slope is -4/7 (type an integer or a fraction)
The y-intercept is (0, -2/9 ) (type an integer or a fraction)
17. Use the graph of the function f to find f(-2) , f(-1) and f(0)
F(-2) = -2
F(-1) = 1
F(0) = 0
18. Find the slope of the line (see graph)
The slope of the line is m= -11/6
19. The function W(d) =0.112d approximates the amount, in centimeters, of water that
results from d cm of snow melting. Find the amount of water that result from snow
melting from the depths of 14cm, 49cm, and 70cm.
14 cm of snow melting produces 1.568 cm of water.
49 cm of snow melting produces 5.488 cm of water.
70 cm of snow melting produces 7.84 cm of water.
20. Determine whether the graphs of each pair of lines are parallel.
3x+4=y
2y= 6x-7
Are the graphs of the given equations parallel? Yes
21. Find the domain of the function. g x  
7
10  3x
Choose the correct domain below:
{x|x is a real number and x 
10
}
3
22. Graph the equation using the slope and y-intercept. y 
1
x  6 (use graphing tool)
7
23. Find the slope-intercept equation of the line that has the given characteristics:
Slope 5 and y-intercept (0,9)
The slope-intercept equation is y = 5x+9