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Logarithms - Graphing Exponential and Logarithmic Functions Video Lecture | Logarithms Simplified (Mathematics Trick): Important for K12 students - Quant
FAQs on Logarithms - Graphing Exponential and Logarithmic Functions Video Lecture - Logarithms Simplified (Mathematics Trick): Important for K12 students - Quant
| 1. What is the graph of an exponential function? |  |
Ans. The graph of an exponential function is a curve that either increases or decreases exponentially. If the base of the exponential function is greater than 1, the graph will increase as it moves to the right. If the base is between 0 and 1, the graph will decrease as it moves to the right.
| 2. How can I determine the graph of a logarithmic function? | |
Ans. To determine the graph of a logarithmic function, you need to know its base. If the base is greater than 1, the graph will increase as it moves to the right. If the base is between 0 and 1, the graph will decrease as it moves to the right. The graph will also have a vertical asymptote at x = 0.
| 3. What is the relationship between exponential and logarithmic functions? | |
Ans. Exponential and logarithmic functions are inverses of each other. This means that if you take the logarithm of an exponential function with the same base, you will get the exponent. Similarly, if you raise the base to the power of a logarithmic function, you will get the value inside the logarithm.
| 4. How do I find the x-intercept of a logarithmic function? | |
Ans. To find the x-intercept of a logarithmic function, set the function equal to zero and solve for x. Remember that the logarithm of zero is undefined, so if the equation cannot be solved for x, the function does not have an x-intercept.
| 5. Can the graph of a logarithmic function have a horizontal asymptote? | |
Ans. No, the graph of a logarithmic function cannot have a horizontal asymptote. Since the logarithm of any positive number is always positive, the graph will increase or decrease indefinitely as x approaches infinity or negative infinity.
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