21. The table below the functions ic show values for (x) and gt) for certain val

Question

21. The table below the functions ic show values for (x) and gt) for certain values of x The table also shows values for 5 g(x)1 16 10 13 h(x)- x) 9(x)3 47 30 65 112 Which of the following is a true statement? A Both h(x) and Kx) are linear functions. B Both h(x) and Kx) are quadratic functions C h(x) is a cubic function and/(x) is a quadratic function. D h(x) is a quadratic function and J(x) is a linear function x-Intercepts of a quadratic function are (0.25, 0) and (3, o), what are its factors? A (x +2.5) and (x +3) B (x+2.5) and (x - 3) C (4x-1)and (x-3) D (4x-1) and (x+ 3) 23. The graph of the quadratic function fx) is shown. f(x) Which of the following could represent f(x)? A fx) B nx) (x 1)(x+ 9) (x + 2)(x-4)

Explanation / Answer

21.

Clearly both f(x) and g(x) are linear functions.

So f(x)*g(x) is a quadratic function as it is a product of 2 linear functions.

f(x) + g(x) is a linear function as it is a sum of 2 linear functions.

So, the answer is D) h(x) is a quadratic function and j(x) is a linear function.

22. The roots are 0.25 and 3. So factors x-0.25=0 or 4x- 1 =0 and (x-3)=0

So, answer is C) (4x-1) and (x-3)

23. The x-intercepts are -2 and 4.

So, answer is B) f(x) = (x+2)(x-4)

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.