Answer:
Step-by-step explanation:
To add the two fractions, you need a common denominator. In this case, the lowest common denominator (LCD) is 9y. That's because 9y is divisible by both 3y and 9y.
The first fraction must be changed so that its denominator is 9y. Do this by multiplying both numerator and denominator by 3.
Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.
You have added -13 to every function value, so every point on the graph is 13 "spaces" lower. The y-intercept is one such point, so ...
-The y-intercept is 13 spaces lower.
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<em>Comment on notation</em>
In plain text an exponent is preceded by a caret (^). If the exponent has arithmetic involved (addition, subtraction, multiplication, division), then the entire exponent needs to be enclosed in parentheses. When an exponential term that has a constant base is multiplied by another constant, then some sort of multiplication indicator is useful. Your expressions might be written ...
... f(x) = 4·2^x
... f(x) = 4·2^x - 13 . . . . . . or, better, f(x) = 4(2^x) - 13 . . so it is clear -13 is not part of the exponent
Answer:
The functions with the property f(–x) =f(x) are called even functions because they symmetric about the y-axis and The functions with the property f(–x) = -f(x) are called odd because these function are symmetric about the origin .
Step-by-step explanation:
The functions with the property f(–x) =f(x) are called even functions because they symmetric about the y-axis . In other words these functions usually take a form x^2 ,x^4 ,x^6 ,x^8 etc . However ,there are other functions that behave like that too, such as cos(x).An even exponent does not always make an even function, for example (x+1)^2 is not an even function .
The functions with the property f(–x) = -f(x) are called odd because these function are symmetric about the origin . In other words they are called odd because of the functions like x, x^3 ,x^5 ,x^7, etc .but there are other functions that behave like that, too, such sin(x) .but an odd exponent does not always make an odd function, for example x3+1 is not an odd function.
