Answer:
wkkeek
Step-by-step explanation:
99992ndndnddke
Answer:
, the third one
Step-by-step explanation:
Explaining the sine function:
The sine function is defined by:
In which A is the amplitude, 
is the period, 
is the horizontal shift and V is the vertical shift.
So, in your problem:
The amplitude is 4, so A = 4.
The period is 
, so 
.
There is no horizontal shift, so 
.
The vertical shift is −3, so V = -3.
The sine function that represents these following conditions is
, the third one
<h3>Answers:</h3>
- (a) It is <u>never</u> one-to-one
- (b) It is <u>never</u> onto
=========================================================
Explanation:
The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.
Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.
----------------------------
The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.
With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.
There are no real solutions.
if you subtract 20 from both sides, you get
x² = -16
You cannot find the square root of a negative number without using i, so there are no real number solutions.
