Graphing Functions and Equations

Evaluate each function for the given input values. f(x) = 2x - 4 for f(-4)

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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

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