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Mathematics, 19.02.2022 18:20 61497

EXTREMELY URGENT WILL GIVE BRAINLIEST Question 1: The graph of h(x) is shown.

Graph of h of x that begins in quadrant two and decreases rapidly following the vertical line which is 5 units to the left of the y-axis. The curve crosses the x-axis 4 units to the left of the origin and crosses the y-axis one unit below the origin and then continues to decrease to the right in quadrant 4.

What are the intercepts and asymptote(s) of h(x)? Explain how to find these using the graph.

Question 2: Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning.

Question 3: The table represents a logarithmic function f(x).

x y
1 over 125 βˆ’3
1 over 25 βˆ’2
one fifth βˆ’1
1 0
5 1
25 2
125 3

What are the domain and range of f(x)? Explain your reasoning.

Question 4: Given f(x) = log x, what transformations are needed to produce g(x) = log (x) βˆ’ 3?

Question 5: The logarithmic functions, f(x) and g(x), are shown on the graph.

Graph depicting two curves, g of x and f of x equals log x. Curve g of x is increasing from the left asymptotic to the line x equals negative 1 and bends to the right and passes through zero comma four. Curve f of x equals log x increasing from the left asymptotic to the y-axis and bends to the right and passes through one comma zero.

What is the equation that represents g(x)? Explain your reasoning.

PLEASE HELP AND THANK YOU IN ADVANCE

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EXTREMELY URGENT WILL GIVE BRAINLIEST Question 1: The graph of h(x) is shown.

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