SOLUTION:
(1)
Which of the folowing functions has its vertex below the x-axis?
f(x)= (x-7)^2
f(x)= x^2-8
f(x)= 2x^2
f(x)= (x+3)^2
(2)
Find the minimum or maximum value of f
Algebra ->
Linear-equations
-> SOLUTION:
(1)
Which of the folowing functions has its vertex below the x-axis?
f(x)= (x-7)^2
f(x)= x^2-8
f(x)= 2x^2
f(x)= (x+3)^2
(2)
Find the minimum or maximum value of f
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Question 254877:
(1)
Which of the folowing functions has its vertex below the x-axis?
f(x)= (x-7)^2
f(x)= x^2-8
f(x)= 2x^2
f(x)= (x+3)^2
(2)
Find the minimum or maximum value of f(x)=x^2-2x-6 Then state the domain and range of the function.
Answer
The maximum value is 1. D: {all real numbers}; R: {y | y –7}
The maximum value is 1. D: {x | x –7 }; R: {all real numbers}
The minimum value is –7. D: {all real numbers}; R: {y | y –7}
The minimum value is –7. D: {x | x –7 }; R: {all real numbers}
(3)
A toy rocket is launched from the ground level with an initial vertical velocity of 96 ft/s. After how many seconds will the rocket hit the ground?
Answer
6 seconds
You can put this solution on YOUR website! 2)
f(x)=a^2+bx+c
x^2-2x-6
a is positive so there is a minimum.
minimum at x=-b/2a=2/2=1
minimum at y=1-2-6=-7
Domain is all real numbers
Range is [-7, infinity)
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Ed
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