5- For the function f(x)=x³/3(x²-3) – 3/2, determine: a- The domain. b- The x and y intercepts. c- The max and min points and Sketch the graph.

Q: Find the x intercept of the line y = (3/5) x - 2/3.

A: Given, y=3/5x-2/3 x intercept is the point where the line crosses the x-axis at y=0 now put y=0 in…

Q: For the function y=x-1, graph the points with the domain of {0,4,6,8,9}

A: Domain: Set of values of x or independent variable for which the value of y or dependent variable…

Q: +1. 2. Write down the x-intercept and y-intercept of the function y =

A:

Q: y = x³ – 3x2 – 4x What is the graph of the function? Y =

A: The given function is y=x3-3x2-4x

Q: a. Graph the function f (x) = 4e-0.3x.b. Find f ( -10) and f (10).

A: a. Graph the function f (x) = 4e-0.3x.b. Find f ( -10) and f (10).

Q: Which of the functions has the y-axis as the line of symmetry?

A: Generally we check three kinds of symmetries for the graphs. Symmetry about X axis Symmetry about Y…

Q: f(x) = √x + 2 a. Find an equation for f -1(x).b. Graph f and f -1 in the same rectangular coordinate…

A: (a) The function f(x)=x+2.  To find the inverse of the function, first replace x with y and obtain…

Q: For the function y=7-3x, and what is the ordered pair of x=5?

A: Given function        y=7-3x

Q: B: Draw the function y = √√x-8

A: First we compare this equation with general equation of parabola then transform.

Q: Graph the function y=(3)/(2)x+2

A: See the attachment

Q: B- Find the Domain, Range and Sketch the graph of the function y = 2cos(x-

A: Given y=2cosx-π3

Q: For the function y = 3x2 + 9x + 4, at the point x = 8, find the following.

A: Given data:     The given expression is: y=3x2+9x+4. The given point is: x=8.     (a) The expression…

Q: Determine the x- and y-intercepts for the given function. 5) g(x) = -x² + 18 6) r(x) = |x-81

A: I have written all the answers within the solution. Please go through that.

Q: • Use the graph of y = f(x) to answer the following ( b. Determine (3).

A:

Q: f(x) = /x and g(x) = - x + 6 A) Shift the graph of f left 6 units and then reflect across the…

A: Given :                  f(x) = sqrt x and g(x) = - sqrt (x+6) Graph :                  f(x) =…