Essential Question: What is function notation and what is it used for?
Learning Target: Students will be able to use function notation to evaluate functions that represent real-world functions.
Complete the entire assignment and show work for full credit.
Essential Question: What is function notation and what is it used for?
Learning Target: Students will be able to use function notation to evaluate functions that represent real-world functions.
Complete the entire assignment and show work for full credit.
Complete the following notes regarding how to use function notation.
Evaluate each function for the given value.
Evaluate each function for the given value.
Evaluate each function for the given value.
Evaluate each function for the given value.
Evaluate each function for the given value.
Evaluate each function for the given value.
Evaluate each function for the given value.
Anthropologists use the length of certain bones of the human skeleton to estimate the height of the living person. One of these bones is the femur. To estimate the height in centimeters of a female with a femur length of x, the function h(x) = 61.41 + 2.32x can be used. If a 46 cm femur bone is discovered at a dig site, using the height function, estimate how tall the person was that bone belonged to.
Categorize each representation of a relation on the left based on its type.
Ordered Pairs
Mapping Diagram
Table of Values
Graph
Classify each item on the left based on whether it describes the domain or range of a relation.
The output values of a relation
The input values of a relation
Represented on the vertical axis of a coordinate plane
The x-values of a relation (usually)
Represented on the horizontal axis of a coordinate plane
The y-values of a relation (usually)
Domain
Range
Directions: Complete each function table, then graph the function.
Directions: Complete each function table, then graph the function.
Drag the values from the left to identify the domain and range of the relation.
Place each value only once.
2
7
-7
-1
4
-4
1
-2
Domain
Range
Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.
Represent the relation with a mapping diagram. Remember to label the domain and range in your diagram.
Vocabulary Review: A function is a relationship that pairs each input value with exactly one output value. Categorize each relationship.
Relation A
Relation B
Relation C
Function
Not a function
What is f(2) for the function f(x) = 4x + 1?
Use the function w(x) = 250x, which represents the average number of words a person can read in one minute to determine many words the average person can read in 6 minutes. Enter only a number.
Graph the function rule.
The amount of water w in a wading pool, in gallons, depends on the amount of time t, in minutes, the wading pool has been filling, as related by the function rule w = 3t.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
Translate this expression.
“eighteen less than a number”
Translate this expression.
“the difference of a number and 4"
Which words or phrases have the same meaning as addition?
Which words or phrases have the same meaning as subtraction?
Which words or phrases have the same meaning as division?
Which words or phrases have the same meaning as multiplication?
Directions: Give the perimeter of each figure as a simplified expression.
Directions: Give the perimeter of each figure as a simplified expression.
Evaluate each expression using the variable replacements.
Evaluate each expression using the variable replacements.
Match the operation with its inverse.
| Stavka koja se može prevući | arrow_right_alt | Odgovarajuća stavka |
|---|---|---|
inverse of division | arrow_right_alt | subtraction |
inverse of multiplication | arrow_right_alt | addition |
inverse of addition | arrow_right_alt | division |
inverse of subtraction | arrow_right_alt | multiplication |
To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. This means we need to work in a different order.
Put these operations in the order by which you perform them to solve an equation. (first to last)
multiplication and division
parentheses ( )
addition and subtraction (outside parentheses)
Put the steps to solving this equation in the right order.
divide both sides of the equation by 3
add 7 to both sides of the equation
the result is x=7
Before we start solving, we identify the variable a, so we can solve for it the variable
Solve this equation.
Put the steps in the correct order to solve this multistep equation.
Use distribution to multiply (7a+5) by -4 to get -28a - 20
The solution is a = 5
undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160
Solve this multi-step equation. Show your work (SYW)
Solve this equation
Solve each proportion. Show your work! Or suffer the consequences...
Solve and graph the inequality for the given variable.
Evaluate each function for the given value.
Evaluate each function for the given value.
