SATMathematics Practice Test 1

Question : 37 of 58

Marks: +1, -0

The complete graph of the function f is shown in the xy-plane above. For what value of x is the value of

f(x)

at its minimum?

−5
−3
−2
3

Validate

Solution:

The minimum value of the function corresponds to the y-coordinate of the point on the graph that is the lowest along the vertical or y-axis. Since the grid lines are spaced 1 unit apart on each axis, the lowest point along the y-axis has coordinates

(−3,−2)

. Therefore, the value of x at the minimum of

f(x)

−3

.
Choice A is incorrect;

−5

is the smallest value for an x-coordinate of a point on the graph of

f,

not the lowest point on the graph of

f

. Choice C is incorrect; it is the minimum value of

f,

not the value of

x

that corresponds to the minimum of

f

. Choice D is incorrect; it is the value of

x

at the maximum value of

f

, not at the minimum value of

f

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