Modified True/False. Write TRUE if the statement is true, otherwise change the underlined word or phrase to make the statement correct. A. If the exponential function is given by f(x)=2^x, then... __1. the range of the function is the set of positive real numbers. __2. the y-intercept of the graph of f(x) is 2. __3. f(1)=x. __4. as the value of x increases, the value of f(x) increases. __5. The horizontal asymptote is the x-axis.
Modified True/False.
Write TRUE if the statement is true, otherwise change the underlined word or phrase to make the statement correct.
A. If the exponential function is given by f(x)=2^x, then...
__1. the range of the function is the set of positive real numbers.
__2. the y-intercept of the graph of f(x) is 2.
__3. f(1)=x.
__4. as the value of x increases, the value of f(x) increases.
__5. The horizontal asymptote is the x-axis.
B. If the logarithmic function is given by f(x)=log₃x, then...
__6. the domain of the function is the set of positive real numbers.
__7. the x-intercept is at the point (0,1).
__8. f(a)=x.
__9. as the value of x increases, the value of f(x) decreases.
__10. the graph of f(x) has a vertical asymptote at the y-axis.
C. If the rational function is given by f(x)=(2x+3)/(4x-8), then...
__11. the vertical asymptote is the line x=2.
__12. the horizontal asymptote is the line y=1/2.
__13. the graph will pass through the point (1,7).
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