3. Given the function h(x) = - 2 (x-1)² a) Determine the restrictions on x and state the domain of h. b) Sketch a graph of the function, using technology. i) to the left of the vertical asymptote suple of c) Describe the behaviour of the graph to the left and right of the restrictions. Investigate the slope, and the change in slope, for the following in ii) to the right of the vertical asymptote gainorob

Q: 42. f(x)=-3x² +5x a) Is the point (-1, 2) on the graph of ƒ ? b) Find ƒ (2). c) For what values of x…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: c) Evaluate the f(x-2)= Write an equation for the line passing through (1,-6) and with (-1,0) in…

A: Given that functionf(x)=x2+3f(x-2)=(x-2)2+3f(x-2)=x2-4x+4+3f(x-2)=x2-4x+7

Q: 1. Show algebraically that f (a) -7x +3 is a one-to-one function |

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the domain of the following function. Make a sketch of the domain in the xy-plane. f(x.y) = /x-…

A:

Q: a) Is the function f(x) = x + odd, even or neither

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Calculate the numbers a,b and c, knowing that the line (y=2x-3) is an oblique asymptote of the…

A: For the function  the oblique asymptote is We have to find the value of  and

Q: a) Graph f(x). b) Find f(1). Show it algebraically. c) List the x and y intercepts. Show it…

A: the objective is to write the equations represented in this piecewise function graph.

Q: 1. Consider the function: -3x+3 if xsl S(x)=3 x'-9 1<xS4 2 4<xs9 10.8 10 a) Graph f(x). b) Findf(1).…

A: The objective is to find the graph of f(x)and  find f(1), list X and Y intercepts show it…

Q: a) Use the graph to list in order, from smallest to largest. 2- -1 -0.5 9 0.5 1 15 2 25 3 3.5 b)…

A: From the graph the integral can be find by adding area under curves. If the area is  under curve is…

Q: The deeper you are under water; the less sunlight reaches you. The percent of sunlight, P, that…

A:

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

A: Given problem:-

Q: 1. for f(x)=x2 + 2 AND g (x)= 8 - 7x, evaluate:  a) g(-3a + 1) b) g(-3a + 1) - f(a+4) c) x when…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Graph of f(x) = x' is shown below. Describe the followings. a). intercepts b), domain c).range

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: 2. The function f and g are given by f(x) = In x and g(x) = e* +2 a) State the domain and range of f…

A:

Q: if xs1 S(x)=D{ x-9 1<xs4 4 < x< 9 -3x+3 MO 8 64 夏 0 4. -6 8 10/- a) Graph f(x). b) Find f(1). Show…

A: