Algebra I Test #1 GP 6 Review

Write the equation for the graph below.

• f(x)=3(2)^x
• f(x)= -3(2)^x
• f(x)=3(1/2)^x
• f(x)= -3(1/2)^x

Which statement is true about the graph below?

• Initial value of 4, asymptote of y = 0, range of y > 0, illustrates growth
•  Initial value of 4, asymptote of x = 0, range of y > 0, illustrates growth
• Initial value of 4, asymptote of y = 0, range of y > 0, illustrates decay
• Initial value of 4, asymptote of x = 0, range of y > 0, illustrates decay

What is the y-intercept and horizontal asymptote of the exponential function f(x)=3(2)^x?

• y-intercept is (0, 3) and horizontal asymptote is x = 0.
• y-intercept is (0, 2) and horizontal asymptote is y = 0.
• y-intercept is (0, 3) and horizontal asymptote is y = 0.
• y-intercept is (0, 2) and horizontal asymptote is x = 0.

Which of the following statements is  true about exponential functions?

• Exponential functions have a horizontal asymptote.
• Exponential functions have a range of all real numbers.
• Exponential functions can have more than one x-intercept.
• Exponential functions have a y-intercept that is “b”.

Michelle wants to pay for her new tablet. She paid a down payment of  $300.  She gets a weekly allowance of $20. If Michelle uses 75% of her weekly allowance for payments, which inequality can be used to determine the number of weeks (w) needed for her to to pay at most $425?

• 300+20w ≥ 425
• 300+20w ≤ 425
• 300+15w ≥ 425
• 300+15w ≤ 425

The side length of a cube is 5x⁴y⁶z The volume of a cube can be found using the formula V=s³. Which of the following is the volume of the cube?

• 15x¹²y¹⁸z³
• 125x¹²y¹⁸z³
• 15x⁸y¹²z³
• 125x⁸y¹²z³

Kara is using completing the square to solve a quadratic.  Which of the following is a correct step for solving x²-10x-17=0?

• x²-10x+25=17+25
• x²-10x-25=17-25
• x²-10x+5=17+5
• x²-10x+15=17+15

What is the range of the exponential function f(x)=(2)^x+4

• y > 4
• y < 4
• x > 4
• x < 4

If f(x)= -(x+3)² - 8, what is f(-3.5)?

• -8.25
• -7.75
• -50.25
• 7.75

Which of the following represents the solution set to the inequality below? 
5x - 6 < 14 + 10x

• x > 4
• x < 4
• x > -4
• x < -4