Answer:
The answer is D, E, F or it is also D to F
Step-by-step explanation:
☆What is the prime factorization of 108?
To find the prime factorization, first divide 108 by 2.
You have 2 numbers: 54 and 2. 2 is a prime number and 54 isn't. Divide 54 by 2 until every factor of 54 is prime.
★ Prime number collection: 2
Add 2 to the "prime number collection". Divide 27 by factors until every factor you find is prime.
★ Prime number collection: 2, 2
Add 3 to the "prime number collection". Divide 9 by a factor of it to find more prime numbers.
★ Prime number collection: 2, 2, 3
The two 3's are prime. No more dividing! Add those to the "prime number collection".
★ Prime number collection: 2, 2, 3, 3, 3
Multiply all the numbers in your "prime number collection".
Answer:
a. -3 < x ≤ 5
b. -3 ≤ y < 3
c. (0, 0)
d. x = -3, x = 1, x = 5
e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,
f. (-1, -1), and (3, -3)
Step-by-step explanation:
a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5
b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3
c. The y-intercept is the point the graph crosses the y-axis
The y-intercept in the graph is the point (0, 0)
d. f(x) ≥ 0 when x = -3, x = 1, x = 5
f(x) ≥ 0 over the following range; -3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5
e. The intervals over which f(x) is decreasing are;
-3 < x ≤ - 1, and 1 ≤ x ≤ 3,
f. The local minimums where f(x) has the minimum values are;
(-1, -1), and (3, -3)
When a problem has no solution you'll end up with a statement that's <em>false</em>. For example: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has no solution.
