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.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

a

b

c

d

e

3

5

7

9

11

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.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.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.HSF.IF.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.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

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.HSA.REI.D.10

CCSS.HSF.IF.B.4

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.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.HSA.REI.D.10

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.HSA.REI.D.10

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

CCSS.HSS.ID.B.6