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Relative Maximum Relative Minimum Both a Relative Maximum and a Relative Minimum

ID: 2837534 • Letter: R

Question

Relative Maximum

Relative Minimum

Both a Relative Maximum and a Relative Minimum

A Critical Point but not a Relative Maximum or a Relative Minimum

Not a Critical Point

(0, 4)

(0, 8)

(4, 8)

(4, ?)

None of These

t = -2 only

t = -1 only

t = 0 only

t = -2 and t = 0

t = -1 and t = 0

x = -54

x = 0

x = 3

x = 18

None of These

A critical point only

An inflection point only

A critical point and an inflection point

Neither a critical point or an inflection point

Relative Maximum

Relative Minimum

Both a Relative Maximum and a Relative Minimum

A Critical Point but not a Relative Maximum or a Relative Minimum

Not a Critical Point

Explanation / Answer

If f(x) = 3x4 - 8x3 + 6x2 + 24, then the point at x = 1 is a?
d) A Critical Point but not a Relative Maximum or a Relative Minimum

On what interval(s) is the function g(x) = 2x3 - 24x2 + 60 concave down?
e) None of These [correct answer is (-infinity,4)

For the function g(t) = te^t, there is an inflection point at?
a) t = -2 only

If n(x) = 3x - 54, there will be a relative maximum at?
e) None of These [since it is an increasing function]

If h(x) = (x - 4)5, the point at x = 0 is?
d) Neither a critical point or an inflection point