A+ Answers of the following Questions

Question 1 
Use the given conditions to write an equation for each line in point-slope form. 
Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3.
A. y + 10 = -4(x + 8) 
B. y + 11 = 4(x2 + 8) 
C. y - 12 = -5(x + 20) 
D. y + 14 = -4(x - 5) 

Question 2 
Write an equation in general form of the line passing through (3, -5) whose slope is the negative reciprocal (the reciprocal with the opposite sign) of –1/4.
A. 5x + y - 22 = 0 
B. 4x - y - 17 = 0 
C. 4x + y + 20 = 0 
D. 7x - y + 34 = 0 

Question 3
Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. 
The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.
A. f(x) = 6 
B. f(x) = 8 
C. f(x) = 3 
D. f(x) = 5 

Question 1 
Evaluate each function at the given values of the independent variable and simplify. 
f(x) = 4x + 5 
1. f(6) 
2. f(x + 1) 
3. f(-x)
A. 1. 27 
2. 5x + 9 
3. -4x + 8 
B. 1. 35 
2. 4x + 9 
3. -7x + 5 
C. 1. 29 
2. 4x + 9 
3. -4x + 5 
D. 1. 29 
2. 3x + 8 
3. 4x + 6 

Question 2 
Give the slope and y-intercept of each line whose equation is given. 
g(x) = -1/2x
A. m = 3/4; b = -2 
B. m = 6; b = 7 
C. m = -1/2; b = 0 
D. m = 1; b = 8 

Question 3 
Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. 
The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.
A. f(x) = 2/3x – 4 
B. f(x) = -2/5x – 6 
C. f(x) = -2/3x – 2 
D. f(x) = -2/7x + 8 

Question 1 
Give the slope and y-intercept of each line whose equation is given. 
y = 2x + 1
A. m = 3; b = 4 
B. m = 5; b = 1 
C. m = 6; b = 7 
D. m = 2; b = 1 

Question 2 
Determine whether the following equation defines y as a function of x: 
x2 + y2 = 16
A. Y is a function of x. 
B. X is not a function of y. 
C. X is a function of x. 
D. Y is not a function of x. 

Question 3 
Evaluate each piecewise function at the given values of the independent variable.
f(x) = 3x + 5 if x < 0
4x + 7 if x ≥ 0 

Question 1 
5.0 Points 
Determine whether the following equation defines y as a function of x: 
x + y = 16
A. Y is a function of x. 
B. Y is not a function of x. 
C. X is a function of y. 
D. X is not a function of y. 

Question 2 
Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. 
The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y–intercept of -4.
A. f(x) = -1/2x + 1 
B. f(x) = -1/5x + 3 
C. f(x) = 1/5x - 3 
D. f(x) = -2/5 x + 1 

Question 3 
Determine whether the following equation defines y as a function of x: 
x2 + y = 16
A. Y is not a function of x. 
B. X is a function of y. 
C. X is not a function of y. 
D. Y is a function of x. 

Question 1 
Passing through (-2, 2) and parallel to the line whose equation is 2x - 3y - 7 = 0.
A. 3x - 3y + 11 = 0 
B. 2x - 3y + 10 = 0 
C. 6x - 4y + 12 = 0 
D. 2x - 5y + 15 = 0 

Question 2 
g(x) = x + 3 if x ≥ -3
-(x + 3) if x < -3 
1. g(0) 
2. g(-6) 
3. g(-3)
A. 1. -1 
2. 7 
3. 19 
B. 1. 3 
2. 3 

Question 3
Find the average rate of change of the function from x₁ to x₂. 
f(x) = x² + 2x from x₁ = 3 to x₂= 5
A. 10
B. 15
C. 4
D. 25

Question 4
Determine whether the function is odd, even, neither, or can’t be determined: 
f(x) = x³+ x
A. Even
B. Odd
C. Neither
D. Can’t be determined