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Math 1: Exam1-FormB

# Math 1: Exam1-FormB - Draw the graph of g(f(x 6 Graph y= 3x...

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1. Find the linear function g(x) that has the property that the graph of g(x) passes through (-1, 15) and g -1 (3)=7. 2. Here is the graph of p(x)=x 3 (x+2) 4 (x-3) 5 . Use the graph to find the solution to the inequality x 3 (x+2) 4 (x-3) 5 >0. Write your answer using interval notation.

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3. Let f ( x ) = 2 x + 2 - 4 Determine the domain and range of f(x). Write your answer using interval notation. Find f -1 (7) 4. Let f(x)=(x+6) 3 -4. Find f -1 (x).
5. Let f ( x ) = 3 x + 6 , g(x)=x 2 -3 Find g(f(x)). What is the domain of g(f(x))? Write your answer using interval notation.

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Unformatted text preview: Draw the graph of g(f(x)). 6. Graph y= 3x+1-4. Show the horizontal asymptote and y intercept. Use your graph to estimate the solution to 3 x+1-4=0 7. Complete the square on the quadratic function f(x)=-3x 2-12x+2. What is the range of the function? Write your answer using interval notation. 8. Let g ( x ) = x 2- 2 . Sketch a graph of g(x). Find the average rate of change of g(x) on [-4,-2]. Find b so that the average rate of chane of g(x) on [-4,b] is -2....
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