Example 9. Classify each relation as constant, linear, quadratic, or neither. a) y = x² + 5x + 6 b) у %3D 5 c) y = 2* d) у %3D 5 — Зх e) у %3D (х — 2)(х + 3) f) y = (x – 1)? g) y = Vx f) у %3D 10— (х — 5)2

Q: Which of the following is the reciprocal of a linear function? O a) f(x) = b) f(x). = 6 2x + 1 1 x²…

A:

Q: 16) A quadratic function is given as f(x) - x+8x + 6. Rewrite the given function in an equivalent…

A: since you have asked multiple questions in single request so we will be answering only first…

Q: 8. Given the function (x) = (x - 2) and g(x) = -x+3. Which function represents the combined function…

A: Ans(8)Given f(x)=(x-2)2 and g(x)=-x+3⇒f(x)=x2-4x+4 and…

Q: 1) A function is linear for x 2. This function has the following values: 9-4) = 8; A2) = 5; A4) =…

A: Consider the given statements : Put these values in the functions to check whether the functions…

Q: Evaluate the function at the given value of the independent variable and simplify. x2 + 6 . 3) f(x)…

A: To evaluate the function at the given value of the independent variable, f(x)=x2+6x3-5x,f(-4)

Q: Let fx) = x + 2x and g(x) = x- 5. a) Find (f ° g)(x). f(x+h) – f(x) b) Find the difference quotient…

A: Given

Q: 8. The roots of the equation of a quadratic function are x = 3 and x = 5. Find an equation for the…

A:

Q: Determine whether the set {0.0-0} is linearly dependent or linearly independent. Justify your answer…

A:

Q: 8. Write an equation for the quadratic relation that results from each transformation. a) The graph…

A:

Q: (10c + d)° (5b - 5c)° (2d + 6e)° (a + 30)° (a + 2b)° (4f + 4e)° 60°

A:

Q: The vertex, x-intercepts, y-intercept, and line of symmetry for a. V (1,-5); 2 -2- Vī /10 -2+ V10…

A: Here the given function is,  f(x)=2x2+4x-3…

Q: 1. Let f(x) = 3x + 1, g(x) = 7 – 2x, and h(x) = x² – 4.x + 5. Find the following: a) (f + g)(2) b)…

A: 1. Given, f(x)=3x+1g(x)=7-2xh(x)=x2-4x+5

Q: 4 y-fx) 36) Use the graph of the quadratic function to write it as: f(x)-a(x -h)'+k 26 -4-2

A: The graph is downwards parabola whose equation is (y-k)=a(x-h)^2, where (h,k) is the vertex of…

Q: Which statement is true? a) the graph has a greater rate of change b) the equation has a greater y…

A:

Q: (x – 2)°(x+3) (x – 1)(x+2) O Find the intercepts of R. Let R(x)

A:

Q: If (x+1) replaces x , and (y+2) replaces y , describe the effect on the graph of y=f(x)   A) Stays…

A: Given that (x+1) replaces x , and (y+2) replaces y

Q: If the point (-1, -2) is on the graph of y = f(x) , what must the point be on the graph of y = f…

A: We have given a point on function f. Now the function is transformed into y = f (x-2) +5.We have to…