Lesson 1.1 Key Features of Functions

• 2

• f(0) =

• 6

• f(-10) =

• 10

• f(10) =

• -6

• f(-5) =

• -2

• f(5) =

Answer explanation

• 7

• f(-8) =

• 5

• f(4) =

• 6

• f(-4) =

• 3

• f(0) =

• 4

• f(8) =

Answer explanation

• 9

• f(0) =

• 3

• f(-7) =

• 0

• f(14) =

• -3

• f(7) =

• 6

• f(-14) =

Answer explanation

• −10

• f(0) =

• 4

• f(10) =

• 11

• f(5) =

• −17

• f(-5) =

• −3

• f(-10) =

Answer explanation

Answer explanation

Answer explanation

Answer explanation

Answer explanation

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). 

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).