Homework SystemAssignment Worksheet

2/25/19 - 11:50:40 PM MSTName:____________________________Class:Math for the Real World: Section 84Class #:____________________________Section #:____________________________Instructor:Brenlyn RodaboughAssignment:Lesson 8A Homework

Question 1: (1 point)

For the functionf(x)=8x4

Evaluate each of the following:

f(1)

____________f(0)

____________f(1)

____________f(2)

____________f(2)

____________f(5)

____________

Question 2: (1 point)

For the functionf(x)=x

2

33+7

Evaluate each of the following:

f(1)

____________f(0)

____________f(1)

____________

Question 3: (1 point)

For the functionf(x)=42

x

+5

Evaluate the following:

f(1)

____________f(0)

____________f(1)

____________

Question 4: (1 point)

The Body Mass Index (BMI) is a number that is often used to determine if an individual is a healthy weight. The function for finding an individual's BMI is:

f(w,h)=720w

h

2

which could also be written asf(w,h)=(720w)h

2

wherew=

weight in pounds andh=

height in inches.

Use the BMI function to find the BMI for individuals with the following weights and heights:

Round your answers to the nearest tenth.

weight = 131 pounds and height = 59 inches____________weight = 172 pounds and height = 69 inches____________weight = 207 pounds and height = 73 inches____________weight = 221 pounds and height = 70 inches____________

Question 5: (1 point)

Sketch a plot of the line that has a slope ofm=2

5

and a y-intercept of2

.

Question 6: (1 point)

Plot the ordered pairs (2,5), (1,4), and (-1, 8) on the coordinate plane pictured below.

Which of the following functions goes through these three points?

(a)f(x)=x

2

+4

(b)f(x)=3x+4

(c)f(x)=x

2

2x+5

Question 7: (1 point)

Match each of the following families of functions with their functional form.

f(x)=mx+b

Exponential Function

[]Quadratic Function

[]Linear Function

[]

f(x)=ax

2

+bx+c

Exponential Function

[]Quadratic Function

[]Linear Function

[]

f(x)=ab

x

+c

Exponential Function

[]Quadratic Function

[]Linear Function

[]

Question 8: (1 point)

Draw the graph of a quadratic function that has a vertex at(2,5)

and has a y-intercept of3

.

Make sure to plot the vertex first.

Does this quadratic function open up or down?

(a)It opens up.

(b)It opens down.

Question 9: (1 point)

Find the vertex, y-intercept, and direction of the following quadratic function.

f(x)=5x

2

+20x+1

x-coordinate of vertex:____________y-coordinate of vertex:____________y-intercept:____________

(a)parabola opens up

(b)parabola opens down

Question 10: (1 point)

Graph the exponential functionf(x)=3

2

(4

3

)

x

1

Use the following to help you plot the function.

Whenx=1

,f(x)=

____________

The y-intercept of the function is____________

The horizontal asymptote of the exponential function is aty=

____________

(To graph an exponential function, plot two points on the graph, and then select any point on the horizontal asymptote)