Question

The table represents some points on the graph of linear function f.

x to f(x)
-2 to -224
1 to 64
5 to 448
10 to 928

Which function represents f ?

(1 point)

f(x)=−32(x−3)


f(x)=−2(32x−3)


f(x)=16(2x−1)


f(x)=32(3x−1)

Answer 1

Find the slope: between x = 1 and x = 5, slope = (448−64)/(5−1) = 384/4 = 96.
So f(x) = 96x + b. Use (1,64): 64 = 96·1 + b → b = −32.
Thus f(x) = 96x − 32 = 32(3x − 1).

Answer: f(x) = 32(3x − 1).