ANSWER
C) f(3) − f(1) = f(6) − f(4)
EXPLANATION
The given function is f(x)=3x
f(3)=3(3)=9
f(1)=3(1)=3
f(3)-f(1)=9-3=6
Also,
f(6)=3(6)=18
f(4)=3(4)=12
f(6)-f(4)=18-12=6
Therefore the correct choice is
C) f(3) − f(1) = f(6) − f(4)
Answer:
See the screenshot
Step-by-step explanation:
Determine two points by substituting values for x and solving for y. Then plot the points and draw a dashed straight line through the points to indicate that they are not part of the inequality. Shade in the area above the line.
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Find Slope:
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y = 1/4x - 7
Slope = 1/4
Perpendicular slope = -4 (Negative reciprocal)
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Substitute slope into the general equation y = mx + b:
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y = -4x + b
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Find y-intercept:
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at point (-2, -6)
-6 = -4(-2) + b
-6 = 8 + b
b = -6 - 8
b = -14
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Substitute b = -14 into the equation:
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y = -4x + b
y = -4x - 14
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Equation:
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y = -4x - 14
y + 6 = -4x - 8 \\add 6 to both sides
y + 6 = -4(x + 2) \\Take out common factor -4
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Answer: y + 6 = -4(x + 2) (Answer D)
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Answer:
See attached picture.
Step-by-step explanation:
The solution set on a graph is the graph or drawing of the function. For this quadratic function, it is the U-shaped graph called a parabola. Graph the equation by finding the x-intercepts and vertex.
The function factors into (x+4)(x+5). So the x-intercepts are -4 and -5.
The vertex of the function is found using -b/2a. Here that is -9/2 = -4.5. This is the x value of the vertex. The y-value is found by substituting x = -4.5 into the function.
(-4.5)^2 + 9(-4.5) + 20
20.25 - 40.5 + 20
Graph three points at (-4,0), (-5,0) and (-4.5, -0.25).
See attached picture for the graph.