Lesson 6.1.1
6.1.1 Exponential function e^x and its graph Quiz: Pearson Edexcel Maths, Unit 6
20 questions
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Lesson 6.1.1, Exponential function e^x and its graph: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 6: Exponentials and logarithms, written with Revision Ninja.
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The 20 questions
-
What is the numerical value of the mathematical constant e to two decimal places?
- 3.14
- 2.72
- 1.41
- 2.23
-
What is the derivative of the exponential function e^x with respect to x?
- x e^x
- e^x
- x e^(x-1)
- ln(x)
-
What is the integral of the exponential function e^x with respect to x?
- x e^x + C
- e^(x+1) + C
- e^x + C
- (1/x)e^x + C
-
What is the value of e^0 for any real exponential function?
- e
- 1
- 0
- undefined
-
What is the equation of the horizontal asymptote for the graph of y = e^x?
- x = 0
- y = 0
- y = 1
- y = e
-
What is the y-intercept of the standard exponential graph y = e^x?
- (1, 0)
- (0, 0)
- (0, e)
- (0, 1)
-
What is the range of the standard exponential function y = e^x for all real x?
- y in R
- y > 1
- y > 0
- y >= 0
-
What is the domain of the standard exponential function y = e^x?
- x >= 1
- All real x
- x > 0
- x != 0
-
What is the gradient of the tangent to the curve y = e^x at the point (0, 1)?
- infinity
- 0
- e
- 1
-
What transformation maps the graph of y = e^x to the graph of y = e^(x - 4)?
- Translation (0, -4)
- Translation (-4, 0)
- Translation (4, 0)
- Stretch SF 4
-
What is the gradient of the curve y = e^(2x) at the point where x = 0?
- e^2
- 2
- 4
- 1
-
Solve the equation e^x = 5 for x in exact logarithmic form.
- x = ln(5)
- x = log10(5)
- x = 5/e
- x = e^5
-
Simplify the expression e^(3x) multiplied by e^(2x).
- e^(x)
- e^(5x)
- 2e^(5x)
- e^(6x)
-
Simplify the algebraic expression (e^(4x))^2.
- e^(8x)
- 2e^(4x)
- e^(16x)
- e^(6x)
-
What is the exact value of ln(e^4) in simplified form?
- 4
- e^4
- 4e
- 1
-
What is the shape of the graph of y = e^(-x) for increasing values of x?
- Constant
- Decreasing
- Periodic
- Increasing
-
What transformation maps the graph of y = e^x to the graph of y = -e^x?
- Reflection in y-axis
- Translation (0, -1)
- Rotation about origin
- Reflection in x-axis
-
What is the exact value of ln(1) involving the exponential function?
- undefined
- 0
- e
- 1
-
What is the gradient of the curve y = 3e^x at the point where x = 0?
- 0
- 1
- 3
- e
-
What transformation maps the graph of y = e^x to y = 2e^x?
- Reflection
- Vertical stretch
- Horizontal stretch
- Translation
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