The graph of function f(x) and g(x) is parallel lines separated by 1 unit.
In this question we have been given two functions f(x) = - 3x + 4 and g(x) = f(x) + 1
We need to graph these functions and then describe the graph.
The graph of given functions is as shown below.
The graph of function f(x) is a straight line with slope -3 and y-intercept 4.
The function g(x) is nothing but but function f(x) translated upward by 1 unit.
The graph of function g(x) is also a straight line with slope -3 and y-intercept 5.
Therefore, the graph of function f(x) and g(x) is parallel lines separated by 1 unit.
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Answer:
<em>The answer is 200</em>
Step-by-step explanation:
<em>To solve the question given, let us recall the following,</em>
<em>Let r4=200 miles apart</em>
<em>r=50 mph combined speed
</em>
<em>Where </em>
<em>2f+10=50
</em>
<em>2f=40
</em>
<em>f=20
</em>
<em>f+10=30
</em>
<em>or we can express it in another way,</em>
<em>which is</em>
<em>f x4+(f+10)x 4=200
</em>
<em>f x4+f x4+40=200
</em>
<em>8f+40=200</em>
<em>Then</em>
<em>8f is =160
</em>
<em>f=20
</em>
<em>f+10=30
</em>
<em>Therefore,</em>
<em>4x 20+4 x 30=200
</em>
<em>80+120=200
</em>
<em>200=200</em>
<em />
• Given the table of values, you can identify these points:
If you plot them on a Coordinate Plane, you get:
As you can observe, it is a Linear Function.
• The equation of a line in Slope-Intercept Form is:
Where "m" is the slope of the line and "b" is the y-intercept.
In this case, you can identify in the graph that:
Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:
And then solve for "m", in order to find the slope of the line.
Using this point:
You get:
Therefore, the equation for the data in Slope-Intercept Form is:
Hence, the answer is:
• It represents a Linear Function.
,
• Equation:
The equation is like this 5×3 + 4×6 = 39
X = 3
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Answer:
0.246
Step-by-step explanation:
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