What Is an Exponential Function?
Read this topicExplanations 4
- (Video) An Introduction to Exponential Functions by ThinkwellVids Here's a great video by ThinkwellVids. He very clearly explains what exponential functions are and shows some e…
By Alex Federspiel, Amy Feraco
- (Video) Exponential Function by mathman1024 Here's a video by mathman1024 going over exponential functions. Summary\large{\text{Summary}}Summary Exponential function with base a…
By Alex Federspiel, Amy Feraco
- Exponential Function An exponential function is a mathematical function in the form: f(x)=axf(x) = a ^ xf(x)=ax Here aaa is a positive, real number (called the base) and xxx is …
By Sarah Walker, Victor Wang, Anusha Rahman
- Exponential Functions An exponential function is a function in which a constant base is raised to a variable exponent. Unlike linear functions, which change by adding the same a…
By Trisha, Anusha Rahman
Problems 24
- Which of the following is the equation of an exponential function? (You may select more than one.)
- If f(x)=axf(x)=a^xf(x)=ax is exponential, what values can aaa be?
- Why is f(x)=(−3)−xf(x)=(-3)^{-x}f(x)=(−3)−x not an exponential function?
- Why is f(x)=1−xf(x)=1^{-x}f(x)=1−x not an exponential function?
- Is f(x)=3−xf(x)=3^{-x}f(x)=3−x an exponential function?
- Geometric sequences are best described by functions of which form?
- f(x)=3xf(x)=3^xf(x)=3x Evaluate: f(−2)f(-2)f(−2), f(−1)f(-1)f(−1), f(0)f(0)f(0), f(1)f(1)f(1), and f(2)f(2)f(2). The answers are in the same order.
- Which of the following is the equation of an exponential function? (You may select more than one.)
- Which of the following is the equation of an exponential function? (You may select more than one.)
- Which of the following is the equation of an exponential function? (You may select more than one.)
- Which of the following is the equation of an exponential function? (You may select more than one.)
- Which of the following is the equation of an exponential function? (You may select more than one.)
- If f(x)=(a+1)xf(x)=(a+1)^xf(x)=(a+1)x is exponential, what values can aaa be? Select the option that includes all possible values.
- If f(x)=(a−2)xf(x)=(a-2)^xf(x)=(a−2)x is exponential, what values can aaa be? Select the option that includes all possible values.
- If f(x)=(2a+1)xf(x)=(2a+1)^xf(x)=(2a+1)x is exponential, what values can aaa be? Select the option that includes all possible values.
- If f(x)=(a2)xf(x)=(a^2)^xf(x)=(a2)x is exponential, what values can aaa be? Select the option that includes all possible values.
- Suppose there are functions f(x)=bxf(x)=b^xf(x)=bx and g(x)=cxg(x)=c^xg(x)=cx such that f(x)=g(x)f(x)=g(x)f(x)=g(x) for every value of xxx. If bbb and ccc are positive, what can…
- Suppose f(x)=axf(x) = a^xf(x)=ax is an exponential function, with a>0a>0a>0 and a≠1a\neq1a=1. If there are values bbb and ccc such that f(b)=f(2c)f(b) = f(2c)f(b)=f(2c), what c…
- If f(x)=axf(x)=a^xf(x)=ax is an exponential function, for which values a aaa is the function decreasing?
- If f(x)=axf(x)=a^xf(x)=ax is an exponential function, for which values of aaa is the function increasing?
- Exponential functions are one-to-one. What does this say about the relationship between xxx and yyy values? Hint: xxx maps to yyy if f(x)=yf(x)=yf(x)=y.
- Suppose Sudan finds his soulmate on Tinder. She loves long walks in the meadows, and other rhino activities. Furthermore, assume a rhino only gives birth once a year. How many y…
- Morgan is practicing archery. On Morgan's first week practicing archery, her accuracy was 6%6\%6%. On her second week, her accuracy was 12%12\%12%. On her third, 24%24\%24%. On …
- Suppose f(x)=axf(x) = a^xf(x)=ax is an exponential function, with a>0a>0a>0 and a≠1a\neq1a=1. If there are values bbb and ccc such that f(b)=f(c)f(b) = f(c)f(b)=f(c), what can …