The value of function f(x) = x+4 when x=3 is 7.
By considering given function
f(x) = x+4
f(3)= 3+4
f(3)=7
A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
Four broad categories can be used to classify different types of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element.
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Answers:
- False
- True
- True
- False
- True
- False
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Explanations:
- If we can write a number as a ratio (or fraction) of two whole numbers, then that number is considered rational. The denominator can never be 0. In the case of 6/4, this is a rational number. Therefore, the statement "6/4 is irrational" is false.
- This is a true statement. We cannot write sqrt(2) as a fraction of two integers. The proof of this is fairly lengthy, but one way is to use a proof by contradiction to show that sqrt(2) = a/b is impossible. Since we cannot make sqrt(2) into a ratio of two integers, we consider it irrational.
- This is a true statement. Any terminating decimal is always rational. In this case, 1.3 = 13/10.
- This is false. Any repeating decimal can be converted to a fraction through a bit of work. It turns out that 17.979797... = 1780/99 which makes the value to be rational.
- Any integer is rational. We can write the integer over 1. So something like -16 is the same as -16/1, showing how it is rational. So that's why this statement is true.
- This statement is false because we found true statements earlier.
6m (m+2) = 0 is the factored form
m=0, m=-2 is m
Steps are on paper
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