Evaluate the function for the following input: f(x)=3−2x . Which input generates the largest output when evaluating the function?(1 point)
f(2)
f(0)
f(3)
f(5)
To evaluate the function f(x)=3−2x, we substitute the given input into the function and solve for the output.
f(2) = 3 - 2(2) = 3 - 4 = -1
f(0) = 3 - 2(0) = 3 - 0 = 3
f(3) = 3 - 2(3) = 3 - 6 = -3
f(5) = 3 - 2(5) = 3 - 10 = -7
Comparing the outputs, we find that f(0) generates the largest output (3), so the correct answer is f(0).
The function V(r)=10πr^2 represents the volume of a cylinder that is 10 inches high with a radius of r. Which is the correct interpretation for the function notation V(3)=90π ?(1 point)
Responses
A radius of 3 gives the value 90.
The volume of the cylinder is 3 when the radius is 90π.
The volume of the cylinder is 90π when the radius is 3.
A cylinder of 90π is produced from a radius of 3.
The correct interpretation for the function notation V(3) = 90π is: The volume of the cylinder is 90π when the radius is 3.
Monique is punting a football and the height the ball travels is a function of time. The function h(s)=−s^2+10s+3 gives the height of the ball, h(s) , given the number of seconds, s , that the ball has been in the air. After flying through the air for 7.5 seconds, what is the height of the ball? Find h(7.5) .(1 point)
Responses
To find the height of the ball after 7.5 seconds, we substitute 7.5 into the function h(s) = -s^2 + 10s + 3 and evaluate.
h(7.5) = -(7.5)^2 + 10(7.5) + 3
= -56.25 + 75 + 3
= 21.75
Therefore, the height of the ball after 7.5 seconds is 21.75.