Select Equation Given Set of Points
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Three points on the graph of the function f, of, xf(x) are left curly bracket, left bracket, 0, comma, 6, right bracket, comma, left bracket, 1, comma, 8, right bracket, comma, left bracket, 2, comma, 10, right bracket, right curly bracket{(0,6),(1,8),(2,10)}. Which equation represents f, of, xf(x)?
Answer
Multiple Choice Answers
f, of, x, equals, 2, x, plus, 6f(x)=2x+6
f, of, x, equals, 6, dot, left bracket, start fraction, 4, divided by, 3, end fraction, right bracket, to the power xf(x)=6⋅(
3
4
)
x
f, of, x, equals, one half, x, minus, 3f(x)=
2
1
x−3
f, of, x, equals, x, squared, plus, 6f(x)=x
2
+6
The equation that represents the function f(x) given the set of points is:
f(x) = 2x + 6
Evaluate Linear Functions
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Given g, of, x, equals, 5, x, minus, 5g(x)=5x−5, find g, of, minus, 6g(−6).
Answer
To evaluate g(-6) given that g(x) = 5x - 5, we substitute -6 in place of x:
g(-6) = 5(-6) - 5
g(-6) = -30 - 5
g(-6) = -35
Therefore, g(-6) = -35.
Evaluate Linear Functions
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Given h, of, x, equals, 2, x, plus, 4h(x)=2x+4, find h, of, minus, 1h(−1).
Answer
Attempt 1 out of 2
To evaluate h(-1) given that h(x) = 2x + 4, we substitute -1 in place of x:
h(-1) = 2(-1) + 4
h(-1) = -2 + 4
h(-1) = 2
Therefore, h(-1) = 2.