Electric Current. Suppose you have two electronic devices that have different currents when x = 2. Suppose f(x) is the function that describes the current in both devices and a is an additional tool to chang the current of the first device to match the current of the second device. sa + 3x + 2x² if x < 2 f(x) : %3D 4x2 + 6x + 8 if x > 2

College Algebra
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Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
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Electric Current. Suppose you have two electronic devices that have different currents when x = 2.
Suppose f(x) is the function that describes the current in both devices and a is an additional tool to change
the current of the first device to match the current of the second device.
(a + 3x + 2x² if x < 2
F(x) = {°
4x² + 6x + 8 if x > 2
(a) Find the value of a that will make both currents equal at x = 2 or that f(x) continuous on (-∞, o).
50
38
22
None of the other answers
(b) Is the function differentiable at x = 2?
yes
no
Transcribed Image Text:Electric Current. Suppose you have two electronic devices that have different currents when x = 2. Suppose f(x) is the function that describes the current in both devices and a is an additional tool to change the current of the first device to match the current of the second device. (a + 3x + 2x² if x < 2 F(x) = {° 4x² + 6x + 8 if x > 2 (a) Find the value of a that will make both currents equal at x = 2 or that f(x) continuous on (-∞, o). 50 38 22 None of the other answers (b) Is the function differentiable at x = 2? yes no
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