Lesson 1.1 Key Features of Functions

• 2

• f(5) =

• 10

• f(10) =

• -6

• f(0) =

• 6

• f(-5) =

• -2

• f(-10) =

Answer explanation

Tags

CCSS.HSF.IF.A.2

• 7

• f(0) =

• 4

• f(8) =

• 6

• f(-4) =

• 3

• f(-8) =

• 5

• f(4) =

Answer explanation

Tags

CCSS.HSF.IF.A.2

• -3

• f(0) =

• 0

• f(14) =

• 6

• f(7) =

• 9

• f(-14) =

• 3

• f(-7) =

Answer explanation

Tags

CCSS.HSF.IF.A.2

• −10

• f(-10) =

• −17

• f(10) =

• 4

• f(5) =

• −3

• f(-5) =

• 11

• f(0) =

Answer explanation

Tags

CCSS.HSF.IF.A.2

Answer explanation

Tags

CCSS.HSA.CED.A.2

Answer explanation

Tags

CCSS.HSA.CED.A.2

Answer explanation

Tags

CCSS.HSA.CED.A.2

Answer explanation

Tags

CCSS.HSA.CED.A.2

Look at the graph provided.

Fill in the following for the function shown:

Domain: ​(​ (a)   ,​ ∞ )

Range: ​ ​ (b)   ​ −∞ , ​ (c)   ​ (d)  

• −∞
• ∞
• (
• )
• [
• ]
• 2
• 0
• -2

Answer explanation

Use interval notation:

( or ) parentheses for excluded end values (is ≠, open holes)

[ or ] square brackets for included end values (can be =, closed points)

Domain:  All the possible x-values (left to right) of a function.  Most times, the domain of a function will be (-∞, ∞).  However, if the function is given an endpoint (closed circle or open circle), you will have a numerical endpoint to your domain. 

Range:  All the possible y-values (up and down) of a function.  Most times, the range will have at least one infinite endpoint (positive or negative).  However, numerical endpoints can also be given.  

Y-intercept:  The point that the function crosses the y-axis.  The y-intercept is a point, it will have an x and y value.  The x-value will always be zero.  There will only be one y-intercept for a function.  Give the y-intercept as an ordered pair coordinate point (x, y). 

For example:  (0,4). 

X-intercept(s):  The point(s) where the function crosses or touches the x-axis.  Once again, x-intercepts are points, and the y-value will always be zero.  A function can have multiple x-intercepts.

Give the x-intercept(s) as ordered pair coordinate point (x, y). 

For example:  (-4,0) and (4,0). 

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Look at the graph provided.

Fill in the following for the function shown:

Domain: ​ (a)   (b)   ,​ ∞)

Range: ​ (c)   (d)   ,​ (e)   ​)

• −6
• ∞
• (
• [
• -4
• 0
• -2
• −1
• −∞
• 1

Answer explanation

Use interval notation:

( or ) parentheses for excluded end values (is ≠, open holes)

[ or ] square brackets for included end values (can be =, closed points)

Domain:  All the possible x-values (left to right) of a function.  Most times, the domain of a function will be (-∞, ∞).  However, if the function is given an endpoint (closed circle or open circle), you will have a numerical endpoint to your domain. 

Range:  All the possible y-values (up and down) of a function.  Most times, the range will have at least one infinite endpoint (positive or negative).  However, numerical endpoints can also be given.  

Y-intercept:  The point that the function crosses the y-axis.  The y-intercept is a point, it will have an x and y value.  The x-value will always be zero.  There will only be one y-intercept for a function.  Give the y-intercept as an ordered pair coordinate point (x, y). 

For example:  (0,4). 

X-intercept(s):  The point(s) where the function crosses or touches the x-axis.  Once again, x-intercepts are points, and the y-value will always be zero.  A function can have multiple x-intercepts.

Give the x-intercept(s) as ordered pair coordinate point (x, y). 

For example:  (-4,0) and (4,0). 

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5