Easy 7 points!!! Please help!! Consider the function f(x)=-2/3x+5 what is f(-1/2)? Enter your answer as a simplified fraction in
the box. F(-1/2)=
2 answers:
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Answer:
C= -5
D = 7
Step-by-step explanation:
Answer:
x =
Step-by-step explanation:
Using the rule of exponents
=
Note that 8 = 2³ and 2 = , then
=
, that is
=
Since the bases on both sides are equal, equate the exponents
3x = 1 ( divide both sides by 3 )
x =
Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
