For the function g (x) shown graphed below, over which of the following intervals is g (x) > 0
The function g(x) is greater than zero when the value of x lies in between -3 and 5 and this can be determined by using the given graph.
Given :
The graph of the function g(x) is given.
The following steps can be used in order to determine the interval for g(x):
Step 1 - The value of g(x) means the value of y.
Step 2 - The value of g(x) is positive when the graph of g(x) is in the first or in the second quadrant.
Step 3 - So, according to the graph function g(x) is positive when the value of x is in between -3 and 5.
Therefore, the correct option is 3).
For more information, refer to the link given below:
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g(-1) is lesser than 0 while h(-1) is -3(-1) + 8 = 11 so g(-1) is lesser than h(-1)
g(1) is 5 while h(1) is -3(1) + 8 = 5 so g(1) is equal to h(1)
Step-by-step explanation:
p ÷ r = tan(x)
step-by-step explanation:
given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.
graph is missing so i will create the graph as per given information.
the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.
now we need to find about what is p ÷ r equal to.
so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.
p ÷ r=tan(x)
hence final answer is p ÷ r=tan(x).