Function Evaluation
What does it mean to substitute a value into a function?
Replacing the variable in the Function with a specific number or expression.
Ex:f(x)=x+3 substitute x with 2, replace x with 2 in the Function. so then it would look like this: f(2)=2+3 which equals 5.
What is a Multi-Step equation?
An equation that requires more than one step to solve.
What are Compound Inequalities?
Like having two inequalities joined together with words like "and' or "Or" showing a range of values that satisfy both conditions.
What is a function?
A machine that takes an input, does something to it, and gives you an output.
How do you decide which side to move the variables to when solving the equation?
Get all the Variable on one side and the numbers on the other side.
What is the difference between a Independent variable and a Dependent variable in a Function?
Independent variable is the one you choose, like x in f(x), while the Dependent variable depends on the independent variable like the output y in f(x)=y.
What do you do if the equation has parenthesis?
Start by simplify the terms inside parenthesis using the order of operation PEMDAS.
How do you solve Compound Inequalities?
Work on each part separately and then combine the solutions to find where they overlap.
How do you determine if a Relation is a Function?
Check if each input has only one corresponding output.
What should you do if you end up with a False statement while solving the equation?
There might not be a solution that works for both sides of the equation.
How do you write a Function notation?
What is the role of Inverse operations in solving equations?
Doing the opposite operations to isolate the variable.
Can an inequality have no solution?
Yes! When the conditions are conflicting, there's no value that can satisfy the inequality.
What is the Domain and Range of a Function?
Domain is input values you can use, and Range is output values you can get.
How do you Isolate the Variable?
Get it all by itself on one side of the equation.
What do you get when you plug 0 into a Function?
You get the output of the function when the input is 0.
What is PEMDAS?
P-Parentheses E-Exponents M-Multiplication
D-Division A-Addition S-Subtraction
(Easier to remember Please, Excuse, My, Dear, Aunt, Sally.)
What does "AND" mean in a Compound Inequality?
Both conditions must be true at the same time.
How do you Graph a function?
Plot points by choosing x-values putting them into the function to get the corresponding y-values and then plotting those points on the graph.
What happens if the Variable cancels on both sides?
The equation simplifies to a statement that doesn't involve the variable anymore.
How do you evaluate a Function with two variables?
Ex: Like f(x,y)
Replace both variables in the function with specific values
What's the difference between a Variable and a constant?
A Variable can change its Value like a letter that represents different numbers, while a Constant has a fixed value that does not change.
What does "OR" mean in a Compound inequality?
The number can satisfy either one of the conditions to be a solution.
What is a Vertical line test, and how is it used?
Its a cool trick to check if a graph represents a function. Draw vertical lines on the graph if any vertical line crosses the graph more than once, its not a function.
How do you deal with coefficients In front of the variable?
Perform the opposite operations to isolate the variable.