Since we want to find the value of <em>k</em><em> </em>where the limit exists, set both equations equal to each other. Then substitute <em>x</em> = -1 in for each equation to find <em>k</em><em>.</em>
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1. Set both equations equal.
2. Substitute <em>x</em><em> </em>= -1.
3. Solve for <em>k</em><em> </em>by adding <em>k</em><em> </em>to both sides. Continue the process of solving the equation.
Thus, <em>k</em><em> </em>= -2. Check by graphing the function.
About Slope - Intercept Form:
- y = mx + b
- m is the slope
- b is the y-intercept
About Standard Form:
- Ax + By = C
- A & B & C are integers
- A & B are both non-zero
- This form is good to use when wanting to find the x & y intercepts of a line
About Point - Slope Form:
- Y - Y1 = m (x -X1)
- Y1 & X1 is a point on the line
- The form allows you to identify the slope & the point on the line
Other Info:
- Remember, y comes before the x
- An ordered pair from your problem: (-3,1), -3 is x & 1 is y & x is before the y
- An ordered pair from your problem: (3,5), 3 is x & 5 is y & x is before the y
- For the graph, the vertical line is y
- For the graph, the horizontal line is x
Hope this information helps!!! :)
Hello,
f(1)=-1.5
f(2)=-2*f(1)=-2*(-1.5)=3
Answer D
