Function Basics

I can think of the problem description as a(n) (a)   that tells me what to do to a starting value to get a final value. The starting value, or ​ (b)   , is the number of pounds. The final value, or ​ (c)   , is the total cost.

• rule
• input
• output

Answer explanation

Output: the dependent variable of a function; the y-values

Input: the independent variable of a function; the x-values of a function

Rule: a description that tells you what to do to get an output

Tags

CCSS.8.F.A.3

Fill in the table matching the rule that was described in the word problem.

a

b

c

d

e

9

7

5

11

3

Answer explanation

You can create an equation with the information given in the word problem to help you complete the table. The equation would be y=2x+1. Substitute the x-values given to you and solve for y.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

I know that a ________ is a rule where each input has exactly one output.

Answer explanation

Please look at your function notes! What did we highlight?

Tags

CCSS.8.F.A.1

The ​ (a)   of picking apples is a function of the​ (b)  

• weight (x)
• total cost (y)
• function
• linear

Answer explanation

Which words makes the most sense in the sentence? which one depends or changes based off the other?

Tags

CCSS.8.F.A.3

I can use the table to make a graph of the function. The graph shows that all the point lie on a(n) ​ (a)   . That means this is a(n) ​ (b)   function.

• straight line
• linear
• nonlinear
• curvy line

Answer explanation

take a close look at the dots plotted on the graph, what kind of line do they create?

Tags

CCSS.8.F.A.3

Is the graph in the picture a linear or nonlinear function? How do you know?

• Linear; the graph does not form a straight line

• Linear; the graph forms a straight line

• Nonlinear; the graph does not form a straight line

• Nonlinear; the graph forms a straight line

Tags

CCSS.8.F.A.3

Is the graph in the picture a linear or nonlinear function? How do you know?

• Linear; the graph does not form a straight line

• Linear; the graph forms a straight line

• Nonlinear; the graph does not form a straight line

• Nonlinear; the graph forms a straight line

Tags

CCSS.8.F.A.3

Is the graph in the picture a linear or nonlinear function? How do you know?

• Linear; the graph does not form a straight line

• Linear; the graph forms a straight line

• Nonlinear; the graph does not form a straight line

• Nonlinear; the graph forms a straight line

Tags

CCSS.8.F.A.3

Is the graph in the picture a linear or nonlinear function? How do you know?

• Linear; the graph does not form a straight line

• Linear; the graph forms a straight line

• Nonlinear; the graph does not form a straight line

• Nonlinear; the graph forms a straight line

Tags

CCSS.8.F.A.3

Click the correct spots to graph the function with the values from the table

Answer explanation

Remember when plotting points you need to do the x-value first then the y-value. You need to walk to the elevator before you can go up or down!

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5