Answer:
4/ 5 x 2^x
Step-by-step explanation:
2^x +4-2^x / 5^2
First we multiply everything by 5^2/5^2
2^x + 4-2^x (5^2x) / (5^2)(5^2)
= 2^x + 4-2^x 5^2x we see 2 x 5^2
= 2^x+4-2 x 5^2x +5^2x / (5^2)(5^2x) 2^x cancels with 2^x as subtraction and 5^2x base cancels with top also
= 4/ 5 x 2^x
Answer: undefined
Step-by-step explanation:
I think im not sure tho
Answer:
3 is the slope
Step-by-step explanation:
<span>The test contains 10 three-point questions and 14 five-point questions.
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Answer: f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
Step-by-step explanation:
if -1 ≤x ≤ 1
We can see that in this range the function is constant, f(x) = 4
if 3≤ x ≤ 5
In this region we can see a linear relationship, with the points (3, 2) and (5, 4)
as the extremes, we can find the slope of this linear equation as:
s = (4 - 2)/(5 - 3) = 2/2 = 1
So our equation is
f(x) = 1*x + b
to find the value of b we can evaluate our function in the first point, we know that when x = 3, y = 2, so we have:
2 = 1*3 + b
b = 2- 3 = -1
then f(x) = 1*x - 1
Then we have:
f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
