Use the drawing tool(s) to form the correct answer on the provided number line.Consider the given functions.Function 1 Function 2𝑓(𝑥) =−5|𝑥 + 1| + 10Represent the interval where both functions are decreasing on the number line provided.Drawing ToolsSelectPointOpen PointLine SegmentRayClick on a tool to begin drawing.DeleteUndoReset
Question
Use the drawing tool(s) to form the correct answer on the provided number line.Consider the given functions.Function 1 Function 2𝑓(𝑥) =−5|𝑥 + 1| + 10Represent the interval where both functions are decreasing on the number line provided.Drawing ToolsSelectPointOpen PointLine SegmentRayClick on a tool to begin drawing.DeleteUndoReset
Solution
I'm sorry for the confusion, but as a text-based AI, I'm unable to use drawing tools or interact with a number line. However, I can help you understand how to find the interval where both functions are decreasing.
The function 𝑓(𝑥) =−5|𝑥 + 1| + 10 is a transformation of the absolute value function. The "-5" in front of the absolute value symbol means the graph is reflected over the x-axis and vertically stretched by a factor of 5. The "+1" inside the absolute value symbol means the graph is shifted 1 unit to the left. The "+10" outside the absolute value symbol means the graph is shifted 10 units up.
The absolute value function decreases to the left of its vertex and increases to the right of its vertex. Since the vertex of 𝑓(𝑥) =−5|𝑥 + 1| + 10 is at x = -1, the function is decreasing for x < -1.
Since you only provided one function, I can't determine where both functions are decreasing. If you provide a second function, I can help you find the interval where both functions are decreasing.
Similar Questions
Use the drawing tools to form the correct answer on the graph.Plot function h on the graph.ℎ(𝑥)={-6,-9≤𝑥<-41,-3≤𝑥<24,3≤𝑥<8Drawing ToolsSelectPointOpen PointLine SegmentClick on a tool to begin drawing.DeleteUndoReset
Select the correct answer.Which interval describes where the graph of the function is positive?
First, sketch a graph of the following piecewise function.𝑓(𝑥)=⎧⎩⎨⎪⎪𝑥0𝑥𝑥<00≤𝑥<11≤𝑥Determine whether there are any points of discontinuity and write the x-values in curly braces, e.g. {10,12}. Enter empty braces {} if there are no points of discontinuity.
Which piecewise function is shown on the graph? A. 𝑓(𝑥) = {5 ,𝑥 ≤ -2𝑥2 + 5 ,-2 < 𝑥 < 12(𝑥+2) − 2 ,𝑥 ≥ 1 B. 𝑓(𝑥) = {-5 ,𝑥 ≤ -2𝑥2 + 5 ,-2 < 𝑥 < 12(𝑥+2) − 3 ,𝑥 ≥ 1 C. 𝑓(𝑥) = {5 ,𝑥 ≤ -2𝑥2 − 5 ,-2 < 𝑥 < 12(𝑥−2) − 2 ,𝑥 ≥ 1 D. 𝑓(𝑥) = {5 ,𝑥 ≤ -2𝑥2 − 5 ,-2 < 𝑥 < 12(𝑥−2) − 3 ,𝑥 ≥ 1
irst, sketch a graph of the following piecewise function.𝑓(𝑥)=⎧⎩⎨⎪⎪𝑥0𝑥𝑥<00≤𝑥<11≤𝑥Determine whether there are any points of discontinuity and write the x-values
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