Function Notation - Definition & Examples
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- (Video) Write Equations in Function Notation by CK-12 Foundation This video by CK-12 Foundation covers function notation and converting an equation into slope-intercept form. Su…
By Victor Wang, Alex Federspiel, Amy Feraco, Jonathan Heller, Anusha Rahman
- Isolating Variables for Function Notation Isolating variables is a very important skill in Algebra. This is because it is easier to read an interpret equations when the variable…
By Amy Feraco, Alex Federspiel, Anusha Rahman, Jonathan Heller
- Function Notation When solving functions, it is a lot easier to understand and to evaluate a function where there is only a variable on the left side. That variable is typically…
By Anusha Rahman
Problems 22
- Slope-intercept form provides a way to express linear functions. Which of these is in slope-intercept form?
- In which equation is yyy a nonlinear function of xxx? (Hint: First solve for yyy as a function of xxx.)
- Identify the equation below that defines yyy as a nonlinear function of xxx. (Hint: First solve for yyy as a function of xxx.)
- In which of the following equations is yyy a linear function of xxx?
- If possible, write yyy as a function of xxx.
- The diameter, ddd, is twice the radius, rrr. If possible, express ddd as a function of CCC.
- Solve the literal equation x+y=9x+y=9x+y=9 for yyy, as a function of xxx. What is the value of yyy when x=4x=4x=4?
- If possible, isolate yyy as a function of xxx. 3x+4y=13x+4y=13x+4y=1
- Isolate sss as a function of AAA.
- How many functions f(x)f(x)f(x) are there, such that for any input value xxx, the output value y=f(x)y = f(x)y=f(x) satisfies the equation x+y=2x+y=2x+y=2?
- From the equation 2x−y=12x - y = 12x−y=1, can xxx be written as a function of yyy?
- You win ddd dollars on a lottery ticket and decide to treat yourself to a day at the movies. If each ticket is 9.25\9.259.25, write an equation for the number of movies you can …
- The radius of a circle is the square root of the area over π.\pi.π. Write this relationship as a literal equation in which rrr is isolated on one side.
- Alex writes ppp problems each day, xxx explanations, and sss solutions. If he has to have a combined total of 200200200 at the end of the week, write an equation for the number …
- Given the following equation, express xxx as a function of yyy. 16x+4y=2416x+4y=2416x+4y=24
- Write yyy as a function of xxx given the equation below: 3x+2y+10=y+153x+2y+10=y+153x+2y+10=y+15
- Write yyy as a function of xxx. Choose all possible ways.
- Write aaa as a function of bbb and ccc. 2(a+1)+b=10−c2(a+1)+b=10-c2(a+1)+b=10−c
- Write RRR as a function of all the other variables: PV=nRTPV=nRTPV=nRT
- Which of the following equations expresses the relationship between xxx and yyy?
- Given that x=2ax=2ax=2a, rearrange the following function and write a function of aaa in terms of yyy. y=x+4y=x+4y=x+4
- The area of a trapezoid is A=12(a+b)×hA=\frac{1}{2}(a+b)\times hA=21(a+b)×h, where a,ba, ba,b are the bases and hhh is the height. Write hhh as a function of AAA, aaa, and bbb.