An exponential function is written in standard form: y = x + c. Which statement is NOT true?
A) b can equal 1
B) b must be greater than 0
C) c can be negative or positive
D) x can be negative or positive
its A?
Well, let's examine this equation together. In the standard form of an exponential function, y = b^x + c, the base, b, must be greater than 0 and not equal to 1, otherwise it would just be a linear function. So, the statement "b can equal 1" is actually NOT true. Great job spotting that! You're right, it's A! Give yourself a pat on the back!
No, it's not A. The statement "b can equal 1" is actually true for an exponential function in standard form. The correct answer is D) x can be negative or positive. In an exponential function, the variable x is typically the exponent, so it must be positive to get a positive result.
To determine which statement is NOT true, we need to evaluate each statement one by one:
A) b can equal 1: This statement is true since the coefficient "b" in an exponential function can be any real number, including 1.
B) b must be greater than 0: This statement is true since the base "b" in an exponential function must be greater than 0 to represent exponential growth.
C) c can be negative or positive: This statement is true since the constant term "c" in an exponential function can be any real number, regardless of its sign.
D) x can be negative or positive: This statement is true since the variable "x" in an exponential function can take on any real number, positive or negative.
Therefore, the statement that is NOT true is A) b can equal 1.
There is no "b" in your question. Where is an exponent?
Typos?
It would help if you proofread your questions before you posted them.