# Linear Functions: Inputs and Outputs

Please help me with the attached questions.

See the attachment for proper formatting.

2) Find the indicated outputs for f(x)=2xsecond power -3x

F(0)=_________________

F(-1)=________________

F(2)=_________________

3) x=2

Use the graphing tool to graph the equation

4) Find an equation of the line containing the given pair of points

(-6,0) and (0,5)

What is the equation of the line?

Y=_______________

(Simplify your answer. Type answer in the form y=mx+b using integers or fractions)

5) Given the functions K(t)=10t+1, find each of the following.

K(5)=_______________

K(-3)=________________

K(6,9)=________________

6) Use a graph of the function f to find f(-4), f(-3), and f(-2)

F(-4)=_________________

F(-3)=__________________

F(-2)=__________________

7) Find the slope and the y-intercept

F(x)=-8x-5

The slope is_______________

y-intercept_________________

8) In 1992, the life expectancy of males in a certain country was 68.6 years. In 1997, it was 70.8 years. Let E represent the life expectancy in years t and let t represent the number of years since 1992

9) The linear function E(t)=_____t+___________

Round to the nearest tenth

Use the function to predict the life expectancy of males in 2008

E(16)=_______________

(round to the nearest tenth)

10) Write an equation of the line containing the given point and parallel to the given line.

(8,-7), 5x-7y=2

The equation of the line is y=_______________

(Simplify your answer. Type answer in form y=mx+b using integers or fractions).

#### Solution Preview

Please find the explanations/solutions attached herewith.

2.) Find the indicated outputs for f(x)=2xsecond power -3x

F(0)=_________________

F(-1)=_____________

F(2)=_________________

Solution:

Put x = 0, we will get

F(0) = 2(0)^2 - 3(0) = 0

F(0) = 0

Put x = -1, we will get

F(-1) = 2(-1)^2 - 3(-1) = 2 + 3 = 5

F(-1) = 5

Put x = 2, we will get

F(2) = 2(2)^2 - 3(2) = 8 - 6 = 2

F(2) = 2

3). x=2

Solution:

Use the graphing tool to graph the equation

4.) Find an equation of the line containing the given pair of points

(-6,0) and (0,5)

What is the equation of the line?

Y=_______________ ...

#### Solution Summary

A step-by-step detailed solution is provided to all the problems that determine the inputs and outputs.