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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.

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