Graphing Functions and Equations
Evaluate each function for the given input values. f(x) = 2x - 4 for f(-4)
-12
Give the domain and range of the given relation. {(-6,7), (1,1), (3,-7), (6, -21)}
Domain: {-6, 1, 3, 6} Range: {-21, -7, 1, 7}
Tell whether the equation represents direct variation. If so, identify the constant of variation. -x + y = 1
No
Tell whether the equation represents direct variation. If so, identify the constant of variation. 2x + y = 0
Yes k = -2
Tell whether the equation represents direct variation. If so, identify the constant of variation. 4x - 5y = 0
Yes k = 4/5
Identify the slope and y-intercept of the line with the given equation. 3x - 3y = 12
m = 1 b = -4
Find the slope of the line that passes through the points. (-2, 3) and (4, 6)
m = 1/2
Identify the slope and y-intercept of the line with the given equation. x + 4y = 6
m = 1/4 b = 3/2
Find the slope of the line that passes through the points. (9/2, 5) and (1/2, -3)
m = 2
Find the slope of the line that passes through the points. (5, 2) and (4, -1)
m = 3
Identify the slope and y-intercept of the line with the given equation. y = 5x - 3
m = 5 b = -3
Find the x-intercept and y-intercept. Then graph. 3x + 2y = 6
x = 2 y = 3
Find the x-intercept and y-intercept. Then graph. 4x - 2y = 10
x = 2.5 y = -5
Find the x-intercept and y-intercept. Then graph. -3x + 5y = -15
x = 5 y = -3
Given that y varies directly with x, use the specified values to write a direct variation equation that relates x and y. x = -5.2 y = 1.4
y = -7/26x
Given that y varies directly with x, use the specified values to write a direct variation equation that relates x and y. x = 14 y = 7
y = 1/2x
Given that y varies directly with x, use the specified values to write a direct variation equation that relates x and y. x = -2 y = -2
y = x
Evaluate each function for the given input values. g(x) = (2x^2+3)/2
7