Please see the attached file for the fully formatted problems.
1.) Given the function f described by f(x)=x+7, find each of the following.
2.) Find the intercepts, and then use them to graph the equation. Y= -5 - 5x
3.) Graph the equation using the slope and the y-intercept. Y= 1/5x + 8
4.) Determine whether the graphs of each pair of lines are parallel.
3x + 6=Y
2y=6x - 5
Are the graphs of the given equations parallel? Yes or no?
5.) Graph the equation by plotting points. Y= -1
6.) Find an equation of the line containing the given pair of points. Express your answer in the form x=a, y=b, or y=mx+b.
(-3, -3) and (4, 4)
What is an equation of the line?
Y=_____ (Simplify your answer)
7.) Find the slope, if it exists, of the line containing the pair of points.
(-4, -8) and (-10, -12)
The slope m=_______. (Simplify your answer. Type an integer or a fraction. Type N if the slope is undefined.)
8.) The function, p(d)=1 + d/33, gives the pressure, in atmospheres (atm), at a depth d in the sea (d is in feet). Note that p(0) = 1 atm, p(33)=2, and so on. Find the pressure at 70ft.
The pressure at 70 feet is________atm. (Type an integer or a simplified fraction.)
9.) Find the slope-intercept equation of the line that has given the characteristics.
Slope 6.3 and y-intercept (0, -9)
The slope-intercept equation y=________. (Use integers or decimals for any numbers in the expression.)
10.) Find the slope and the y-intercept.
Y=3.7x - 4
The slope is_______. (Type a integer or a decimal.)
The y-intercept is (0,___). (Type an integer or a decimal.
11.) Find the domain.
P(x)= + 5
12.) Find an equation of the line having the given slope and containing the given point.
M= -6, (1, 7)
The equation of the line is y=______. (Simplify your answer. Type answer in the form y=mx+b using integers orfractions.)
13.) Find the slope and the y-intercept of the line. Write fractional answers in lowest terms.
3y + 3x + 2 = 7 + 3x
The slope is______. The y-intercept is (0, ____.)
14.) Write an equation of the line containing the given point and parallel to the given line.
(3, -9); 7x - 6y = 5
The equation of the line is y=______. (Simplify your answer. Type answer in the form y=mx+b using integers or fractions.)
15.) Determine whether the graphs of the two equations are perpendicular.
X + 2y = 5
2x + 4y = 7
Are the graphs of the given equations perpendicular? Yes or No?
16.) In 1920, the record for a certain race was 45.4 sec. In 1960, it was 44.6sec. Let R(t)= the record in the race and t= the number of years since 1920.
Find a linear function that fits the data.
R(t)=_______.(Round to the nearest hundreath.)
What is the predicted record for 2003?______sec.(Round to the nearest tenth.)
What is the predicted record for 2006?______sec.(Round to the nearesttenth.)
In what year will the predicted record be 43.6 seconds?_______.(Round to the nearest year.)
17.) The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001.
Year Average Salary
a.) Use the data points to find a linear function that fits the data.
b.) Use the function to predict the average salary in 2005 and 2010.
A linear function that fits the data is S(x)=_______. (Let x= the number of years since 1990, and let S= the average salary x years from 1990.)
The predicted average salary for 2005 is $_______. (Round to the nearest whole number.)
The predicted average salary for 2010 is $________. (Round to the nearest whole number.)
18.) Graph the function.
F(x) = 4 - |x|
19.) Find the indicated outputs f(x)= 4 - 4x.