Eight students are competing for a blue, red, and yellow ribbon for their agriculture project. How many different ways are there
2 answers:
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Answer:
The correct option is:
The function is decreasing for all real values of x where x < 1.5.
Step-by-step explanation:
We are given a function f(x) which is a product of two linear polynomial as:
Now, we know that on multiplying the two linear polynomial we will obtain a quadratic polynomial.
So, the function f(x) will be represented as:
So, we will plot the graph of the function and check which statements about the function hold true.
1)
The function is increasing for all real values of x where x < 0.
This statement is false.
Since we get from the graph that function f(x) is decreasing for x<0.
2)
The function is increasing for all real values of x where x < –1 and where x > 4.
This option is incorrect as the function is decreasing for x<-1
whereas it is increasing for x>4.
3)
The function is decreasing for all real values of x where –1 < x < 4.
This option is incorrect.
Since, the function is both decreasing as well as increasing in the interval (-1,4).
4)
The function is decreasing for all real values of x where x < 1.5.
This option is correct.
Since it could be observed from the graph that the function is decreasing for x<1.5.
Answer:
The graph has a domain of all real numbers.
The graph has a y-intercept at .
The graph has an x-intercept at .
Step-by-step explanation:
Given: The graph is
The domain of a function is a set of input values for which the function is real and defined.
Thus, the graph has a domain of .
To find the y-intercept: To find the y-intercept, substitute in
.
Thus, the y-intercept is
To find the x-intercept: To find the x-intercept, substitute in
.
Thus, the x-intercept is