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ACT Math Functions: notation, linear and quadratic functions, exponentials, transformations and sequences quiz quiz

12questions. Pick an answer and you'll see why right away.

  1. If f(x)=3x2−2f(x) = 3x^{2} - 2, what is f(2)f(2)?

  2. If f(x)=x+2f(x) = x + 2 and g(x)=4xg(x) = 4x, what is f(g(3))f(g(3))?

  3. A linear function is f(x)=−2x+9f(x) = -2x + 9. What is its rate of change?

  4. The function f(x)=(x−5)2+3f(x) = (x - 5)^{2} + 3 has its vertex at which point?

  5. What is the axis of symmetry of f(x)=x2−8x+7f(x) = x^{2} - 8x + 7?

  6. A population is modeled by P(t)=500(1.03)tP(t) = 500(1.03)^{t}. What is the annual growth rate?

  7. What is log⁡327\log_{3} 27?

  8. The graph of g(x)=f(x)+5g(x) = f(x) + 5 is the graph of ff shifted how?

  9. If f(x)=x2f(x) = x^{2}, which function is ff shifted right 3 and down 2?

  10. In the arithmetic sequence 6,10,14,18,…6, 10, 14, 18, \ldots, what is the 9th term?

  11. In the geometric sequence 2,6,18,54,…2, 6, 18, 54, \ldots, what is the 5th term?

  12. A table shows ff taking values 3,6,12,243, 6, 12, 24 at inputs 0,1,2,30, 1, 2, 3. The relationship is: