Find all values of
where f\left(x\right) < 0 .
Find all values of \( x \)
where \( \)\( f\left(x\right) < 0 \).
Find all values of \( x \)
where\( f\left(x\right) > 0 \).
Find all values of \( x \)
where \( f\left(x\right) < 0 \).
Find all values of \( x \)
where\( f\left(x\right) > 0 \).
Find all values of x
where \( f(x) < 0 \).
Find all values of
where f\left(x\right) < 0 .
To solve the problem of finding all values where , we analyze the graph provided:
The graph of the function shows it is below the x-axis in the interval from to . Between these points, is negative because the complete span of the graph resides beneath the x-axis between these points.
Steps to validate this are:
Thus, the correct interval where is .
Therefore, the solution to the problem is .
-10 < x < -2
Find all values of
where f\left(x\right) > 0 .
To solve the given problem using the graph, we need to determine the intervals along the x-axis where the quadratic function is positive, based on its x-intercepts and as shown on the graph.
The conclusion is that the quadratic function is greater than zero in the interval .
Therefore, the correct answer is .
-11 < x < -1
Find all values of
where f\left(x\right) < 0 .
To determine where the function is less than 0, observe the graphical representation:
The given graph suggests the function dips below the x-axis between and , passing through .
After analyzing the intervals:
Therefore, values of for which the function is less than 0 are or .
The correct choice is: or
x > -1 or x < -11
Find all values of
where f\left(x\right) > 0 .
In this problem, we are tasked with determining the values of for which the function is positive. We have been provided a graphical representation of the function, and we will use this graph to find our solution.
Based on the graph, we observe the following behavior of the function :
Hence, the function is positive for and for . Note that exactly at , the function is zero, not positive.
Therefore, the solution is: or .
In conclusion, the function is positive for these values of , except the point where it touches the x-axis.
The corresponding choice given the problem's options is:
x > -4 or x < -4
x > -4 or x < -4
Find all values of x
where f(x) < 0 .
Let's analyze the graph to determine where .
The process to follow is:
From this analysis, the function is negative for all except at , where it touches but doesn’t dip below the x-axis.
Therefore, the solution is that the function is negative for or .
x > -4 or x < -4
Based on the data in the sketch, find for which X values the graph of the function \( f\left(x\right) > 0 \)
Based on the data in the diagram, find for which X values the graph of the function \( f\left(x\right) < 0 \)
Based on the data in the diagram, find for which X values the graph of the function \( f\left(x\right) < 0 \)
Based on the data in the diagram, find for which X values the graph of the function \( f\left(x\right) > 0 \)
Based on the data in the diagram, find for which X values the graph of the function \( f\left(x\right) < 0 \)
Based on the data in the sketch, find for which X values the graph of the function f\left(x\right) > 0
Based on the graph provided, we can see the entire function lies below the x-axis. Thus, there is no interval where .
To solve this problem, here's what we observed:
Therefore, the function has no domain where it is positive. Therefore, the solution is:
The function has no domain where it is positive
The function has no domain where it is positive
Based on the data in the diagram, find for which X values the graph of the function f\left(x\right) < 0
To solve the problem of determining where :
Therefore, the function is negative between the roots, i.e., .
Thus, the solution to the problem is: .
1 < x < 7
Based on the data in the diagram, find for which X values the graph of the function f\left(x\right) < 0
To solve for when f(x) < 0 on the graph, we follow these steps:
Step 1: Locate the x-intercepts, where the curve intersects the x-axis. These intercepts are and .
Step 2: Analyze the sections determined by these intercepts. The graph is below the x-axis to the left of and to the right of .
By visually inspecting the graph, it is evident that:
The function is below the x-axis (i.e., negative) for x < 2 and x > 8 .
Therefore, the solution to the problem is that the graph of the function is negative for x > 8 or x < 2 .
x > 8 or x < 2
Based on the data in the diagram, find for which X values the graph of the function f\left(x\right) > 0
The problem is asking us to identify for which values based on the graph provided, which seems to depict a quadratic function. Let's go step-by-step:
First, we need to determine the points where the function intersects the x-axis, which are the roots of the function. The graph shows these intersections at and . These are the points where the function is equal to zero, .
Next, we observe the overall shape of the graph to understand where (i.e., where the graph is above the x-axis). Typically for a quadratic function, which is a parabola, the parabola will be above the x-axis outside the roots if it opens upwards, and between the roots if it opens downwards, given that with root analysis on .
In the provided graph, the parabola appears to open upwards. Therefore, the function is positive when is less than the smaller root, , or greater than the larger root, . This is a typical behavior for a quadratic function which opens upwards, where it takes negative values inside the range of its roots and positive values outside.
Conclusively, for the intervals where or .
Therefore, the solution to the problem is or .
x > 2 or x < -2
Based on the data in the diagram, find for which X values the graph of the function f\left(x\right) < 0
To solve the problem of finding for which values the function , we proceed as follows:
First, we observe the provided graph of the function. Our goal is to identify the intervals on the -axis where the curve of the function is below the line (the x-axis). These intervals represent where the function takes negative values.
Upon examining the graph, we notice that:
Based on the graph, the interval where is from to . Thus, the correct mathematical statement for the values of where is .
The correct choice from the options given is \(\text{}\).
Therefore, the solution to the problem is .
-2 < x < 2
Based on the data in the diagram, find for which X values the graph of the function \( f\left(x\right) > 0 \)
Look at the function graphed below.
Find all values of \( x \)
where \( f\left(x\right) < 0 \).
Find all values of x
where \( f\left(x\right) > 0 \).
Find all values of \( x \)
where \( f\left(x\right) > 0 \).
Find all values of \( x \)
where\( f\left(x\right) < 0 \) .
Based on the data in the diagram, find for which X values the graph of the function f\left(x\right) > 0
First, we examine the provided graph of the quadratic function . The graph clearly shows the x-intercepts (where the function crosses the x-axis) at and .
Since the quadratic function appears to be a standard parabola opening upwards, the portion of the graph between these two x-intercepts will be above the x-axis, which means that in this interval.
The intervals to the left of and to the right of will be where the graph lies below the x-axis, meaning in those regions.
Thus, the graph shows that the function is positive between and . Therefore, the solution to the problem is:
-3 < x < 3
Look at the function graphed below.
Find all values of
where f\left(x\right) < 0 .
x > 3 or x < -3
Find all values of x
where f\left(x\right) > 0 .
x > -2 or x > -10
Find all values of
where f\left(x\right) > 0 .
x < 5 or x > 5
Find all values of
where f\left(x\right) < 0 .
x < 8 or 8 < x
Based on the data in the sketch, find for which X values the graph of the function \( f\left(x\right) > 0 \)
Based on the data in the sketch, find for which X values the graph of the function f\left(x\right) > 0
2 < x < 8